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3109043509504 = 2819325712
BaseRepresentation
bin101101001111100001011…
…011110001100100000000
3102000012222120212111112021
4231033201123301210000
5401414310114301004
610340135212211224
7440422665536362
oct55174133614400
912005876774467
103109043509504
11a995a1010379
12422678469b14
13197248b149aa
14aa69b056d32
1555d178a1d54
hex2d3e16f1900

3109043509504 has 81 divisors (see below), whose sum is σ = 6249208355649. Its totient is φ = 1543758888960.

The previous prime is 3109043509421. The next prime is 3109043509547. The reversal of 3109043509504 is 4059053409013.

It is a happy number.

The square root of 3109043509504 is 1763248.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 753285126400 + 2355758383104 = 867920^2 + 1534848^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 5444909539 + ... + 5444910109.

Almost surely, 23109043509504 is an apocalyptic number.

3109043509504 is the 1763248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3109043509504

3109043509504 is an abundant number, since it is smaller than the sum of its proper divisors (3140164846145).

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

3109043509504 is an frugal number, since it uses more digits than its factorization.

3109043509504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 43.

The spelling of 3109043509504 in words is "three trillion, one hundred nine billion, forty-three million, five hundred nine thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 571 772 1142 1544 2284 3088 4568 6176 9136 12352 18272 24704 36544 37249 49408 73088 74498 110203 146176 148996 220406 297992 326041 440812 595984 652082 881624 1191968 1304164 1763248 2383936 2608328 3526496 4767872 5216656 7052992 9535744 10433312 14105984 20866624 21269179 28211968 41733248 42538358 62925913 83466496 85076716 125851826 170153432 251703652 340306864 503407304 680613728 1006814608 1361227456 2013629216 2722454912 4027258432 5444909824 8054516864 12144701209 16109033728 24289402418 48578804836 97157609672 194315219344 388630438688 777260877376 1554521754752 3109043509504