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42613510140 = 223251417716699
BaseRepresentation
bin100111101011111101…
…101000111111111100
311001222210211121102100
4213223331220333330
51144233024311030
631324255225100
73036000600615
oct475375507774
9131883747370
1042613510140
1117088240983
128313218190
134031675976
1420c3728c0c
151196185360
hex9ebf68ffc

42613510140 has 72 divisors (see below), whose sum is σ = 129277839600. Its totient is φ = 11362120704.

The previous prime is 42613510133. The next prime is 42613510141. The reversal of 42613510140 is 4101531624.

It is a happy number.

42613510140 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 3 + 510 + 140 = 666.

It is a super-2 number, since 2×426135101402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42613510141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2543511 + ... + 2560209.

It is an arithmetic number, because the mean of its divisors is an integer number (1795525550).

Almost surely, 242613510140 is an apocalyptic number.

It is an amenable number.

42613510140 is an abundant number, since it is smaller than the sum of its proper divisors (86664329460).

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

42613510140 is a wasteful number, since it uses less digits than its factorization.

42613510140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30891 (or 30886 counting only the distinct ones).

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

The spelling of 42613510140 in words is "forty-two billion, six hundred thirteen million, five hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 14177 16699 28354 33398 42531 50097 56708 66796 70885 83495 85062 100194 127593 141770 150291 166990 170124 200388 212655 250485 255186 283540 300582 333980 425310 500970 510372 601164 637965 751455 850620 1001940 1275930 1502910 2551860 3005820 236741723 473483446 710225169 946966892 1183708615 1420450338 2130675507 2367417230 2840900676 3551125845 4261351014 4734834460 7102251690 8522702028 10653377535 14204503380 21306755070 42613510140