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2144242040 = 235269349571
BaseRepresentation
bin111111111001110…
…1000100101111000
312112102202210002212
41333303220211320
513342411221130
6552434314252
7104064520343
oct17763504570
95472683085
102144242040
11a00406866
124ba128988
1328230b495
14164ac545a
15c83a5e95
hex7fce8978

2144242040 has 64 divisors (see below), whose sum is σ = 4864860000. Its totient is φ = 850567680.

The previous prime is 2144242013. The next prime is 2144242043. The reversal of 2144242040 is 402424412.

It is a super-2 number, since 2×21442420402 = 9195547852206723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2144241997 and 2144242015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144242043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3754955 + ... + 3755525.

Almost surely, 22144242040 is an apocalyptic number.

2144242040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144242040 is an abundant number, since it is smaller than the sum of its proper divisors (2720617960).

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

2144242040 is a wasteful number, since it uses less digits than its factorization.

2144242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 2144242040 is about 46305.9611713222. The cubic root of 2144242040 is about 1289.5096668203.

Adding to 2144242040 its reverse (402424412), we get a palindrome (2546666452).

The spelling of 2144242040 in words is "two billion, one hundred forty-four million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 269 349 538 571 698 1076 1142 1345 1396 1745 2152 2284 2690 2792 2855 3490 4568 5380 5710 6980 10760 11420 13960 22840 93881 153599 187762 199279 307198 375524 398558 469405 614396 751048 767995 797116 938810 996395 1228792 1535990 1594232 1877620 1992790 3071980 3755240 3985580 6143960 7971160 53606051 107212102 214424204 268030255 428848408 536060510 1072121020 2144242040