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4140230976 = 26337342281
BaseRepresentation
bin1111011011000110…
…1110100101000000
3101200112120112012000
43312301232211000
531434344342401
61522455304000
7204412245150
oct36661564500
911615515160
104140230976
1118350638a2
1297667b000
1350c9acc1b
142b3c18760
15193725186
hexf6c6e940

4140230976 has 112 divisors (see below), whose sum is σ = 13910340480. Its totient is φ = 1182919680.

The previous prime is 4140230959. The next prime is 4140231001. The reversal of 4140230976 is 6790320414.

4140230976 is a `hidden beast` number, since 414 + 0 + 230 + 9 + 7 + 6 = 666.

4140230976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4140230976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159045 + ... + 183236.

Almost surely, 24140230976 is an apocalyptic number.

It is an amenable number.

4140230976 is an abundant number, since it is smaller than the sum of its proper divisors (9770109504).

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

4140230976 is a wasteful number, since it uses less digits than its factorization.

4140230976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342309 (or 342293 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4140230976 is about 64344.6266288025. The cubic root of 4140230976 is about 1605.7386346049.

The spelling of 4140230976 in words is "four billion, one hundred forty million, two hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 342281 684562 1026843 1369124 2053686 2395967 2738248 3080529 4107372 4791934 5476496 6161058 7187901 8214744 9241587 9583868 10952992 12322116 14375802 16429488 18483174 19167736 21563703 21905984 24644232 28751604 32858976 36966348 38335472 43127406 49288464 57503208 64691109 65717952 73932696 76670944 86254812 98576928 115006416 129382218 147865392 153341888 172509624 197153856 230012832 258764436 295730784 345019248 460025664 517528872 591461568 690038496 1035057744 1380076992 2070115488 4140230976