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4010444130 = 2357118919507
BaseRepresentation
bin1110111100001010…
…1000010101100010
3101100111100200002210
43233002220111202
531203133203010
61501541422550
7201245132640
oct35702502542
911314320083
104010444130
111778878040
1293b10aa56
134bbb3a484
142a08b2190
15187139b20
hexef0a8562

4010444130 has 128 divisors (see below), whose sum is σ = 12135536640. Its totient is φ = 823933440.

The previous prime is 4010444117. The next prime is 4010444147. The reversal of 4010444130 is 314440104.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4010444097 and 4010444106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195837 + ... + 215343.

It is an arithmetic number, because the mean of its divisors is an integer number (94808880).

Almost surely, 24010444130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4010444130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067768320).

4010444130 is an abundant number, since it is smaller than the sum of its proper divisors (8125092510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4010444130 is a wasteful number, since it uses less digits than its factorization.

4010444130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19624.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4010444130 is about 63328.0674740671. The cubic root of 4010444130 is about 1588.7814365005.

Adding to 4010444130 its reverse (314440104), we get a palindrome (4324884234).

The spelling of 4010444130 in words is "four billion, ten million, four hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 89 105 110 154 165 178 210 231 267 330 385 445 462 534 623 770 890 979 1155 1246 1335 1869 1958 2310 2670 2937 3115 3738 4895 5874 6230 6853 9345 9790 13706 14685 18690 19507 20559 29370 34265 39014 41118 58521 68530 97535 102795 117042 136549 195070 205590 214577 273098 292605 409647 429154 585210 643731 682745 819294 1072885 1287462 1365490 1502039 1736123 2048235 2145770 3004078 3218655 3472246 4096470 4506117 5208369 6437310 7510195 8680615 9012234 10416738 12152861 15020390 17361230 19097353 22530585 24305722 26041845 36458583 38194706 45061170 52083690 57292059 60764305 72917166 95486765 114584118 121528610 133681471 182292915 190973530 267362942 286460295 364585830 401044413 572920590 668407355 802088826 1336814710 2005222065 4010444130