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116161464440 = 23571747519227
BaseRepresentation
bin110110000101111000…
…0110100100001111000
3102002211111021210121202
41230023300310201320
53400344313330230
6125210331153332
711251406104430
oct1541360644170
9362744253552
10116161464440
114529a13358a
121a61a2a5848
13ac52b79b58
14589d6232c0
15304cec6a45
hex1b0bc34878

116161464440 has 128 divisors (see below), whose sum is σ = 323001354240. Its totient is φ = 36686432256.

The previous prime is 116161464421. The next prime is 116161464449. The reversal of 116161464440 is 44464161611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 116161464394 and 116161464403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116161464449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35894 + ... + 483333.

It is an arithmetic number, because the mean of its divisors is an integer number (2523448080).

Almost surely, 2116161464440 is an apocalyptic number.

116161464440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116161464440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161500677120).

116161464440 is an abundant number, since it is smaller than the sum of its proper divisors (206839889800).

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

116161464440 is a wasteful number, since it uses less digits than its factorization.

116161464440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519309 (or 519305 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 116161464440 in words is "one hundred sixteen billion, one hundred sixty-one million, four hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 47 56 68 70 85 94 119 136 140 170 188 235 238 280 329 340 376 470 476 595 658 680 799 940 952 1190 1316 1598 1645 1880 2380 2632 3196 3290 3995 4760 5593 6392 6580 7990 11186 13160 15980 22372 27965 31960 44744 55930 111860 223720 519227 1038454 2076908 2596135 3634589 4153816 5192270 7269178 8826859 10384540 14538356 17653718 18172945 20769080 24403669 29076712 35307436 36345890 44134295 48807338 61788013 70614872 72691780 88268590 97614676 122018345 123576026 145383560 170825683 176537180 195229352 244036690 247152052 308940065 341651366 353074360 414862373 488073380 494304104 617880130 683302732 829724746 854128415 976146760 1235760260 1366605464 1659449492 1708256830 2074311865 2471520520 2904036611 3318898984 3416513660 4148623730 5808073222 6833027320 8297247460 11616146444 14520183055 16594494920 23232292888 29040366110 58080732220 116161464440