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116400162042 = 232192711571607
BaseRepresentation
bin110110001100111111…
…1011000010011111010
3102010110010102220011200
41230121333120103322
53401341420141132
6125250135235030
711260335024003
oct1543177302372
9363403386150
10116400162042
114540194762a
121a686218a76
13ac90462c38
1458c31da1aa
153063e26d7c
hex1b19fd84fa

116400162042 has 144 divisors (see below), whose sum is σ = 271809862272. Its totient is φ = 35986991040.

The previous prime is 116400162041. The next prime is 116400162049. The reversal of 116400162042 is 240261004611.

116400162042 is a `hidden beast` number, since 1 + 1 + 640 + 0 + 16 + 2 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 116400161997 and 116400162015.

It is not an unprimeable number, because it can be changed into a prime (116400162041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72432403 + ... + 72434009.

It is an arithmetic number, because the mean of its divisors is an integer number (1887568488).

Almost surely, 2116400162042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116400162042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135904931136).

116400162042 is an abundant number, since it is smaller than the sum of its proper divisors (155409700230).

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

116400162042 is a wasteful number, since it uses less digits than its factorization.

116400162042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 116400162042 its reverse (240261004611), we get a palindrome (356661166653).

The spelling of 116400162042 in words is "one hundred sixteen billion, four hundred million, one hundred sixty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 71 114 142 157 171 213 314 342 361 426 471 639 722 942 1083 1278 1349 1413 1607 2166 2698 2826 2983 3214 3249 4047 4821 5966 6498 8094 8949 9642 11147 12141 14463 17898 22294 24282 25631 26847 28926 30533 33441 51262 53694 56677 61066 66882 76893 91599 100323 113354 114097 153786 170031 183198 200646 211793 228194 230679 252299 274797 340062 342291 423586 461358 504598 510093 549594 580127 635379 684582 756897 1020186 1026873 1160254 1270758 1513794 1740381 1906137 2053746 2167843 2270691 3480762 3812274 4024067 4335686 4541382 4793681 5221143 6503529 8048134 9587362 10442286 12072201 13007058 14381043 17913229 19510587 24144402 28762086 35826458 36216603 39021174 41189017 43143129 53739687 72433206 82378034 86286258 91079939 107479374 123567051 161219061 182159878 247134102 273239817 322438122 340351351 370701153 546479634 680702702 741402306 819719451 1021054053 1639438902 2042108106 3063162159 6126324318 6466675669 12933351338 19400027007 38800054014 58200081021 116400162042