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77242307111144 = 2375413349376123
BaseRepresentation
bin10001100100000001100000…
…010001101110100011101000
3101010111021220012011100200122
4101210001200101232203220
540111014221110024034
6432140343115222412
722161400243250510
oct2144014021564350
9333437805140618
1077242307111144
112268030773042a
1287b60b0447a08
133413bc2698876
14151079490a840
158de3b297962e
hex46406046e8e8

77242307111144 has 64 divisors (see below), whose sum is σ = 165832309530240. Its totient is φ = 33041235191040.

The previous prime is 77242307111051. The next prime is 77242307111261. The reversal of 77242307111144 is 44111170324277.

It is a junction number, because it is equal to n+sod(n) for n = 77242307111095 and 77242307111104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014665867 + ... + 1014741989.

It is an arithmetic number, because the mean of its divisors is an integer number (2591129836410).

Almost surely, 277242307111144 is an apocalyptic number.

It is an amenable number.

77242307111144 is an abundant number, since it is smaller than the sum of its proper divisors (88590002419096).

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

77242307111144 is a wasteful number, since it uses less digits than its factorization.

77242307111144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110170 (or 110166 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 44.

The spelling of 77242307111144 in words is "seventy-seven trillion, two hundred forty-two billion, three hundred seven million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 541 1082 2164 3787 4328 7574 15148 30296 33493 66986 76123 133972 152246 234451 267944 304492 468902 532861 608984 937804 1065722 1875608 2131444 4262888 18119713 36239426 41182543 72478852 82365086 126837991 144957704 164730172 253675982 288277801 329460344 507351964 576555602 1014703928 1153111204 2306222408 2549587639 5099175278 10198350556 17847113473 20396701112 35694226946 71388453892 142776907784 1379326912699 2758653825398 5517307650796 9655288388893 11034615301592 19310576777786 38621153555572 77242307111144