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42194619610880 = 285114173092121
BaseRepresentation
bin10011001100000001100110…
…10100000011011100000000
312112101202200120220110102212
421212000303110003130000
521012304040110022010
6225423535103001252
711613314002665122
oct1146006324033400
9175352616813385
1042194619610880
1112498701839080
124895724899228
131a70c215560a9
14a5c33264b212
154d28a3b29505
hex266033503700

42194619610880 has 144 divisors (see below), whose sum is σ = 112946624810208. Its totient is φ = 14969266176000.

The previous prime is 42194619610873. The next prime is 42194619610889. The reversal of 42194619610880 is 8801691649124.

It is a super-2 number, since 2×421946196108802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42194619610889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35968781 + ... + 37123340.

It is an arithmetic number, because the mean of its divisors is an integer number (784351561182).

Almost surely, 242194619610880 is an apocalyptic number.

42194619610880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42194619610880 is an abundant number, since it is smaller than the sum of its proper divisors (70752005199328).

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

42194619610880 is a wasteful number, since it uses less digits than its factorization.

42194619610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73092194 (or 73092180 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 59.

The spelling of 42194619610880 in words is "forty-two trillion, one hundred ninety-four billion, six hundred nineteen million, six hundred ten thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 128 160 164 176 205 220 256 320 328 352 410 440 451 640 656 704 820 880 902 1280 1312 1408 1640 1760 1804 2255 2624 2816 3280 3520 3608 4510 5248 6560 7040 7216 9020 10496 13120 14080 14432 18040 26240 28864 36080 52480 57728 72160 115456 144320 288640 577280 73092121 146184242 292368484 365460605 584736968 730921210 804013331 1169473936 1461842420 1608026662 2338947872 2923684840 2996776961 3216053324 4020066655 4677895744 5847369680 5993553922 6432106648 8040133310 9355791488 11694739360 11987107844 12864213296 14983884805 16080266620 18711582976 23389478720 23974215688 25728426592 29967769610 32160533240 32964546571 46778957440 47948431376 51456853184 59935539220 64321066480 65929093142 93557914880 95896862752 102913706368 119871078440 128642132960 131858186284 164822732855 191793725504 205827412736 239742156880 257284265920 263716372568 329645465710 383587451008 479484313760 514568531840 527432745136 659290931420 767174902016 958968627520 1029137063680 1054865490272 1318581862840 1917937255040 2109730980544 2637163725680 3835874510080 4219461961088 5274327451360 8438923922176 10548654902720 21097309805440 42194619610880