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42315035040 = 253453265049
BaseRepresentation
bin100111011010001011…
…000011000110100000
311001020000012111120000
4213122023003012200
51143130122110130
631234514020000
73025414602045
oct473213030640
9131200174500
1042315035040
1116a44809143
12824b277600
133cb488cc95
142095c311cc
151179d78260
hex9da2c31a0

42315035040 has 120 divisors (see below), whose sum is σ = 149336856900. Its totient is φ = 11284005888.

The previous prime is 42315035027. The next prime is 42315035057. The reversal of 42315035040 is 4053051324.

42315035040 is a `hidden beast` number, since 4 + 2 + 3 + 150 + 3 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42269715216 + 45319824 = 205596^2 + 6732^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42315034995 and 42315035013.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1619565 + ... + 1645484.

Almost surely, 242315035040 is an apocalyptic number.

42315035040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42315035040 is an abundant number, since it is smaller than the sum of its proper divisors (107021821860).

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

42315035040 is a wasteful number, since it uses less digits than its factorization.

42315035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265076 (or 3265059 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 42315035040 its reverse (4053051324), we get a palindrome (46368086364).

The spelling of 42315035040 in words is "forty-two billion, three hundred fifteen million, thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 3265049 6530098 9795147 13060196 16325245 19590294 26120392 29385441 32650490 39180588 48975735 52240784 58770882 65300980 78361176 88156323 97951470 104481568 117541764 130601960 146927205 156722352 176312646 195902940 235083528 261203920 264468969 293854410 313444704 352625292 391805880 440781615 470167056 522407840 528937938 587708820 705250584 783611760 881563230 940334112 1057875876 1175417640 1322344845 1410501168 1567223520 1763126460 2115751752 2350835280 2644689690 2821002336 3526252920 4231503504 4701670560 5289379380 7052505840 8463007008 10578758760 14105011680 21157517520 42315035040