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10042714601634 = 23111389131514557
BaseRepresentation
bin1001001000100100000001…
…1011111011100010100010
31022120002000001021211201010
42102021000123323202202
52304014434414223014
633205320455121350
72054363554434501
oct222110033734242
938502001254633
1010042714601634
113222100641490
121162418973256
1357b040737730
1426a0da050838
15126379de6359
hex922406fb8a2

10042714601634 has 64 divisors (see below), whose sum is σ = 23862001403520. Its totient is φ = 2777587422720.

The previous prime is 10042714601603. The next prime is 10042714601651. The reversal of 10042714601634 is 43610641724001.

It is a super-2 number, since 2×100427146016342 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 10042714601592 and 10042714601601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65680917 + ... + 65833640.

It is an arithmetic number, because the mean of its divisors is an integer number (372843771930).

Almost surely, 210042714601634 is an apocalyptic number.

10042714601634 is an abundant number, since it is smaller than the sum of its proper divisors (13819286801886).

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

10042714601634 is a wasteful number, since it uses less digits than its factorization.

10042714601634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131514675.

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 10042714601634 in words is "ten trillion, forty-two billion, seven hundred fourteen million, six hundred one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 89 143 178 267 286 429 534 858 979 1157 1958 2314 2937 3471 5874 6942 12727 25454 38181 76362 131514557 263029114 394543671 789087342 1446660127 1709689241 2893320254 3419378482 4339980381 5129067723 8679960762 10258135446 11704795573 18806581651 23409591146 35114386719 37613163302 56419744953 70228773438 112839489906 128752751303 152162342449 257505502606 304324684898 386258253909 456487027347 772516507818 912974054694 1673785766939 3347571533878 5021357300817 10042714601634