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404007432885 = 34573143106907
BaseRepresentation
bin1011110000100001011…
…10000011001010110101
31102121210222021001110000
411320100232003022311
523104401400323020
6505333133221513
741121452342550
oct5702056031265
91377728231400
10404007432885
1114637a733001
1266371331899
132c136962cc4
14157a84cd697
15a79863b090
hex5e10b832b5

404007432885 has 160 divisors (see below), whose sum is σ = 874257702912. Its totient is φ = 174573221760.

The previous prime is 404007432847. The next prime is 404007432889. The reversal of 404007432885 is 588234700404.

It is a happy number.

It is not a de Polignac number, because 404007432885 - 211 = 404007430837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 404007432885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404007432889) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3725602 + ... + 3832508.

Almost surely, 2404007432885 is an apocalyptic number.

404007432885 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404007432885 is an abundant number, since it is smaller than the sum of its proper divisors (470250270027).

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

404007432885 is a wasteful number, since it uses less digits than its factorization.

404007432885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107005 (or 106996 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 404007432885 in words is "four hundred four billion, seven million, four hundred thirty-two thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 43 45 63 81 93 105 129 135 155 189 215 217 279 301 315 387 405 465 567 645 651 837 903 945 1085 1161 1333 1395 1505 1935 1953 2511 2709 2835 3255 3483 3999 4185 4515 5805 5859 6665 8127 9331 9765 11997 12555 13545 17415 17577 19995 24381 27993 29295 35991 40635 46655 59985 83979 87885 106907 107973 121905 139965 179955 251937 320721 419895 534535 539865 748349 755811 962163 1259685 1603605 2245047 2886489 3314117 3741745 3779055 4597001 4810815 6735141 8659467 9942351 11225235 13791003 14432445 16570585 20205423 22985005 23198819 29827053 32179007 33675705 41373009 43297335 49711755 60616269 68955015 69596457 89481159 96537021 101027115 115994095 124119027 142507031 149135265 160895035 206865045 208789371 268443477 289611063 303081345 347982285 372357081 427521093 447405795 482685105 620595135 626368113 712535155 868833189 997549217 1043946855 1282563279 1342217385 1448055315 1861785405 1879104339 2137605465 2606499567 2992647651 3131840565 3847689837 4344165945 4987746085 6412816395 8977942953 9395521695 11543069511 13032497835 14963238255 19238449185 26933828859 44889714765 57715347555 80801486577 134669144295 404007432885