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40030513128 = 23321921540109
BaseRepresentation
bin100101010010000000…
…010010011111101000
310211022210110202122100
4211102000102133220
51123440302410003
630220104453400
72614664514234
oct452200223750
9124283422570
1040030513128
1115a821aa001
12791217a260
133a0c4a6c78
141d1a6715c4
151094512ba3
hex9520127e8

40030513128 has 72 divisors (see below), whose sum is σ = 114422472450. Its totient is φ = 12641206464.

The previous prime is 40030513091. The next prime is 40030513141. The reversal of 40030513128 is 82131503004.

It is a happy number.

40030513128 is a `hidden beast` number, since 40 + 0 + 305 + 1 + 312 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23931471204 + 16099041924 = 154698^2 + 126882^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 744063 + ... + 796046.

Almost surely, 240030513128 is an apocalyptic number.

It is an amenable number.

40030513128 is an abundant number, since it is smaller than the sum of its proper divisors (74391959322).

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

40030513128 is a wasteful number, since it uses less digits than its factorization.

40030513128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540159 (or 1540133 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 40030513128 in words is "forty billion, thirty million, five hundred thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 4332 6498 8664 12996 25992 1540109 3080218 4620327 6160436 9240654 12320872 13860981 18481308 27721962 29262071 36962616 55443924 58524142 87786213 110887848 117048284 175572426 234096568 263358639 351144852 526717278 555979349 702289704 1053434556 1111958698 1667938047 2106869112 2223917396 3335876094 4447834792 5003814141 6671752188 10007628282 13343504376 20015256564 40030513128