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29140342740 = 22325271597383
BaseRepresentation
bin11011001000111001…
…100101011111010100
32210012211200210022100
4123020321211133110
5434134411431430
621215322402100
72051060553315
oct331071453724
983184623270
1029140342740
11113a3a66893
125793060330
132995255272
1415a61d060c
15b5841a960
hex6c8e657d4

29140342740 has 72 divisors (see below), whose sum is σ = 88718692608. Its totient is φ = 7742070720.

The previous prime is 29140342739. The next prime is 29140342783. The reversal of 29140342740 is 4724304192.

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

It is a junction number, because it is equal to n+sod(n) for n = 29140342695 and 29140342704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249912 + ... + 347471.

It is an arithmetic number, because the mean of its divisors is an integer number (1232204064).

Almost surely, 229140342740 is an apocalyptic number.

29140342740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29140342740 is an abundant number, since it is smaller than the sum of its proper divisors (59578349868).

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

29140342740 is a wasteful number, since it uses less digits than its factorization.

29140342740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597669 (or 597664 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 29140342740 in words is "twenty-nine billion, one hundred forty million, three hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 271 542 813 1084 1355 1626 2439 2710 3252 4065 4878 5420 8130 9756 12195 16260 24390 48780 597383 1194766 1792149 2389532 2986915 3584298 5376447 5973830 7168596 8960745 10752894 11947660 17921490 21505788 26882235 35842980 53764470 107528940 161890793 323781586 485672379 647563172 809453965 971344758 1457017137 1618907930 1942689516 2428361895 2914034274 3237815860 4856723790 5828068548 7285085685 9713447580 14570171370 29140342740