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3121014440 = 2352310931123
BaseRepresentation
bin1011101000000110…
…1110011010101000
322001111201221221102
42322001232122220
522342434430230
61233410100532
7140225120315
oct27201563250
98044657842
103121014440
111361805385
1273127a748
133a97a510b
14218707d0c
15133eea045
hexba06e6a8

3121014440 has 64 divisors (see below), whose sum is σ = 7395062400. Its totient is φ = 1183133952.

The previous prime is 3121014419. The next prime is 3121014469. The reversal of 3121014440 is 444101213.

It is a super-2 number, since 2×31210144402 = 19481462269377027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84719 + ... + 115841.

It is an arithmetic number, because the mean of its divisors is an integer number (115547850).

Almost surely, 23121014440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697531200).

3121014440 is an abundant number, since it is smaller than the sum of its proper divisors (4274047960).

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

3121014440 is a wasteful number, since it uses less digits than its factorization.

3121014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31266 (or 31262 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3121014440 is about 55866.0401317294. The cubic root of 3121014440 is about 1461.3870661193.

Adding to 3121014440 its reverse (444101213), we get a palindrome (3565115653).

The spelling of 3121014440 in words is "three billion, one hundred twenty-one million, fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 109 115 184 218 230 436 460 545 872 920 1090 2180 2507 4360 5014 10028 12535 20056 25070 31123 50140 62246 100280 124492 155615 248984 311230 622460 715829 1244920 1431658 2863316 3392407 3579145 5726632 6784814 7158290 13569628 14316580 16962035 27139256 28633160 33924070 67848140 78025361 135696280 156050722 312101444 390126805 624202888 780253610 1560507220 3121014440