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9142748040 = 2335533673917
BaseRepresentation
bin10001000001111001…
…10100001110001000
3212121011200201111210
420200330310032020
5122211020414130
64111120453120
7442365035046
oct104074641610
925534621453
109142748040
11397192aa18
121931a7a1a0
13b292103aa
1462a373396
153879c75b0
hex220f34388

9142748040 has 128 divisors (see below), whose sum is σ = 28029058560. Its totient is φ = 2384937984.

The previous prime is 9142748033. The next prime is 9142748057. The reversal of 9142748040 is 408472419.

It is a self number, because there is not a number n which added to its sum of digits gives 9142748040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2332162 + ... + 2336078.

It is an arithmetic number, because the mean of its divisors is an integer number (218977020).

Almost surely, 29142748040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9142748040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014529280).

9142748040 is an abundant number, since it is smaller than the sum of its proper divisors (18886310520).

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

9142748040 is a wasteful number, since it uses less digits than its factorization.

9142748040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 9142748040 is about 95617.7182325535. The cubic root of 9142748040 is about 2091.0235167510.

The spelling of 9142748040 in words is "nine billion, one hundred forty-two million, seven hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 367 424 530 636 734 795 1060 1101 1272 1468 1590 1835 2120 2202 2936 3180 3670 3917 4404 5505 6360 7340 7834 8808 11010 11751 14680 15668 19451 19585 22020 23502 31336 38902 39170 44040 47004 58353 58755 77804 78340 94008 97255 116706 117510 155608 156680 194510 207601 233412 235020 291765 389020 415202 466824 470040 583530 622803 778040 830404 1038005 1167060 1245606 1437539 1660808 2076010 2334120 2491212 2875078 3114015 4152020 4312617 4982424 5750156 6228030 7187695 8304040 8625234 11500312 12456060 14375390 17250468 21563085 24912120 28750780 34500936 43126170 57501560 76189567 86252340 152379134 172504680 228568701 304758268 380947835 457137402 609516536 761895670 914274804 1142843505 1523791340 1828549608 2285687010 3047582680 4571374020 9142748040