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3139253978436 = 2238109372
BaseRepresentation
bin101101101011101010000…
…111100100010101000100
3102010002222000012100000000
4231223222013210111010
5402413143004302221
610402053043321300
7442542432354312
oct55535207442504
912102860170000
103139253978436
111000394037874
124284a9980230
1319a05198b204
14abd2540b0b2
15569d4c01e26
hex2daea1e4544

3139253978436 has 81 divisors (see below), whose sum is σ = 8240876516509. Its totient is φ = 1046322315936.

The previous prime is 3139253978299. The next prime is 3139253978449. The reversal of 3139253978436 is 6348793529313.

The square root of 3139253978436 is 1771794.

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

3139253978436 is a `hidden beast` number, since 3 + 1 + 3 + 92 + 539 + 7 + 8 + 4 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3001868108100 + 137385870336 = 1732590^2 + 370656^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×31392539784362 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 287025160 + ... + 287036096.

Almost surely, 23139253978436 is an apocalyptic number.

3139253978436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3139253978436 is the 1771794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3139253978436

3139253978436 is an abundant number, since it is smaller than the sum of its proper divisors (5101622538073).

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

3139253978436 is an frugal number, since it uses more digits than its factorization.

3139253978436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21902 (or 10942 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 63.

The spelling of 3139253978436 in words is "three trillion, one hundred thirty-nine billion, two hundred fifty-three million, nine hundred seventy-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 10937 13122 21874 26244 32811 43748 65622 98433 131244 196866 295299 393732 590598 885897 1181196 1771794 2657691 3543588 5315382 7973073 10630764 15946146 23919219 31892292 47838438 71757657 95676876 119617969 143515314 239235938 287030628 358853907 478471876 717707814 1076561721 1435415628 2153123442 3229685163 4306246884 6459370326 9689055489 12918740652 19378110978 29067166467 38756221956 58134332934 87201499401 116268665868 174402998802 261604498203 348805997604 523208996406 784813494609 1046417992812 1569626989218 3139253978436