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311229089472 = 2637297985147
BaseRepresentation
bin1001000011101101011…
…00110000011011000000
31002202100002102212122210
410201312230300123000
520044344121330342
6354550543302120
731325355416460
oct4416654603300
91082302385583
10311229089472
1110aa9a786434
1250399baa940
132346c356c52
14110c6607ba0
15816840179c
hex4876b306c0

311229089472 has 112 divisors (see below), whose sum is σ = 973549244160. Its totient is φ = 85856289792.

The previous prime is 311229089461. The next prime is 311229089473. The reversal of 311229089472 is 274980922113.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3112290894722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (311229089473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3953598 + ... + 4031549.

Almost surely, 2311229089472 is an apocalyptic number.

311229089472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311229089472 is an abundant number, since it is smaller than the sum of its proper divisors (662320154688).

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

311229089472 is a wasteful number, since it uses less digits than its factorization.

311229089472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985198 (or 7985188 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 311229089472 in words is "three hundred eleven billion, two hundred twenty-nine million, eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 4872 5568 6496 9744 12992 19488 38976 7985147 15970294 23955441 31940588 47910882 55896029 63881176 95821764 111792058 127762352 167688087 191643528 223584116 231569263 255524704 335376174 383287056 447168232 463138526 511049408 670752348 694707789 766574112 894336464 926277052 1341504696 1389415578 1533148224 1620984841 1788672928 1852554104 2683009392 2778831156 3241969682 3577345856 3705108208 4862954523 5366018784 5557662312 6483939364 7410216416 9725909046 10732037568 11115324624 12967878728 14820432832 19451818092 22230649248 25935757456 38903636184 44461298496 51871514912 77807272368 103743029824 155614544736 311229089472