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114010541013432 = 23372372620209161
BaseRepresentation
bin11001111011000100100101…
…110011000011100110111000
3112221200022010122000110002010
4121323010211303003212320
5104420422041444412212
61042251415224205520
733004663326620400
oct3173044563034670
9487608118013063
10114010541013432
1133366665176208
121095400b6098a0
134b801bcb9c33b
1420221d51d3800
15d2aa20ce603c
hex67b125cc39b8

114010541013432 has 96 divisors (see below), whose sum is σ = 340522382693520. Its totient is φ = 31694049999360.

The previous prime is 114010541013431. The next prime is 114010541013433. The reversal of 114010541013432 is 234310145010411.

It is a happy number.

114010541013432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114010541013431) and next prime (114010541013433).

It is a self number, because there is not a number n which added to its sum of digits gives 114010541013432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114010541013431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1310061069 + ... + 1310148092.

Almost surely, 2114010541013432 is an apocalyptic number.

114010541013432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114010541013432 is an abundant number, since it is smaller than the sum of its proper divisors (226511841680088).

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

114010541013432 is a wasteful number, since it uses less digits than its factorization.

114010541013432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620209221 (or 2620209210 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 114010541013432 its reverse (234310145010411), we get a palindrome (348320686023843).

The spelling of 114010541013432 in words is "one hundred fourteen trillion, ten billion, five hundred forty-one million, thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 49 56 74 84 98 111 147 148 168 196 222 259 294 296 392 444 518 588 777 888 1036 1176 1554 1813 2072 3108 3626 5439 6216 7252 10878 14504 21756 43512 2620209161 5240418322 7860627483 10480836644 15721254966 18341464127 20961673288 31442509932 36682928254 55024392381 62885019864 73365856508 96947738957 110048784762 128390248889 146731713016 193895477914 220097569524 256780497778 290843216871 385170746667 387790955828 440195139048 513560995556 581686433742 678634172699 770341493334 775581911656 1027121991112 1163372867484 1357268345398 1540682986668 2035902518097 2326745734968 2714536690796 3081365973336 4071805036194 4750439208893 5429073381592 8143610072388 9500878417786 14251317626679 16287220144776 19001756835572 28502635253358 38003513671144 57005270506716 114010541013432