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116355505415142 = 23719474876370261
BaseRepresentation
bin11010011101001100100000…
…100100010110001111100110
3120020222110220020020121011210
4122131030200210112033212
5110222332033341241032
61051244551541412250
733336256615303230
oct3235144044261746
9506873806217153
10116355505415142
1134090102474864
121107258740a086
134cc037a98b266
1420a38ca829250
15d6ba18bdd2cc
hex69d3209163e6

116355505415142 has 128 divisors (see below), whose sum is σ = 286496672808960. Its totient is φ = 30761323032960.

The previous prime is 116355505415129. The next prime is 116355505415203. The reversal of 116355505415142 is 241514505553611.

It is a junction number, because it is equal to n+sod(n) for n = 116355505415091 and 116355505415100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15080292 + ... + 21450552.

It is an arithmetic number, because the mean of its divisors is an integer number (2238255256320).

Almost surely, 2116355505415142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116355505415142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143248336404480).

116355505415142 is an abundant number, since it is smaller than the sum of its proper divisors (170141167393818).

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

116355505415142 is a wasteful number, since it uses less digits than its factorization.

116355505415142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370826.

The product of its (nonzero) digits is 1800000, while the sum is 48.

The spelling of 116355505415142 in words is "one hundred sixteen trillion, three hundred fifty-five billion, five hundred five million, four hundred fifteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 47 57 94 114 133 141 266 282 329 399 487 658 798 893 974 987 1461 1786 1974 2679 2922 3409 5358 6251 6818 9253 10227 12502 18506 18753 20454 22889 27759 37506 45778 55518 64771 68667 129542 137334 160223 194313 320446 388626 434891 480669 869782 961338 1304673 2609346 3044237 6088474 6370261 9132711 12740522 18265422 19110783 38221566 44591827 89183654 121034959 133775481 242069918 267550962 299402267 363104877 598804534 726209754 847244713 898206801 1694489426 1796413602 2095815869 2541734139 3102317107 4191631738 5083468278 5688643073 6204634214 6287447607 9306951321 11377286146 12574895214 17065929219 18613902642 21716219749 34131858438 39820501511 43432439498 58944025033 65148659247 79641003022 117888050066 119461504533 130297318494 145808904029 176832075099 238923009066 291617808058 353664150198 412608175231 437426712087 825216350462 874853424174 1020662328203 1237824525693 2041324656406 2475649051386 2770369176551 3061986984609 5540738353102 6123973969218 8311107529653 16622215059306 19392584235857 38785168471714 58177752707571 116355505415142