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42729614340 = 22357113900329
BaseRepresentation
bin100111110010111000…
…100010110000000100
311002021220022022102220
4213302320202300010
51200002240124330
631344003532340
73041610505050
oct476270426004
9132256268386
1042729614340
1117137831766
12834608a0b0
13404c73758a
1420d4d0cc60
1511a146b710
hex9f2e22c04

42729614340 has 96 divisors (see below), whose sum is σ = 137944961280. Its totient is φ = 9680326656.

The previous prime is 42729614339. The next prime is 42729614381. The reversal of 42729614340 is 4341692724.

It is a super-3 number, since 3×427296143403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 42729614292 and 42729614301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402705 + ... + 497624.

It is an arithmetic number, because the mean of its divisors is an integer number (1436926680).

Almost surely, 242729614340 is an apocalyptic number.

It is an amenable number.

42729614340 is an abundant number, since it is smaller than the sum of its proper divisors (95215346940).

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

42729614340 is a wasteful number, since it uses less digits than its factorization.

42729614340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900461 (or 900459 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 42729614340 in words is "forty-two billion, seven hundred twenty-nine million, six hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 565 678 791 1130 1356 1582 1695 2260 2373 3164 3390 3955 4746 6780 7910 9492 11865 15820 23730 47460 900329 1800658 2700987 3601316 4501645 5401974 6302303 9003290 10803948 12604606 13504935 18006580 18906909 25209212 27009870 31511515 37813818 54019740 63023030 75627636 94534545 101737177 126046060 189069090 203474354 305211531 378138180 406948708 508685885 610423062 712160239 1017371770 1220846124 1424320478 1526057655 2034743540 2136480717 2848640956 3052115310 3560801195 4272961434 6104230620 7121602390 8545922868 10682403585 14243204780 21364807170 42729614340