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35423202680040 = 2335742170479381
BaseRepresentation
bin10000000110111100110110…
…11010011001110011101000
311122102102110220022112020010
420003132123122121303220
514120333204341230130
6203201110013531520
710314145661521020
oct1003363332316350
9148372426275203
1035423202680040
111031799448293a
123b81306aa3ba0
13169c516bb5b06
148a66c66a2a80
1541668addc0b0
hex20379b699ce8

35423202680040 has 64 divisors (see below), whose sum is σ = 121450980620160. Its totient is φ = 8096732040960.

The previous prime is 35423202679979. The next prime is 35423202680137. The reversal of 35423202680040 is 4008620232453.

35423202680040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×354232026800403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21085238851 + ... + 21085240530.

It is an arithmetic number, because the mean of its divisors is an integer number (1897671572190).

Almost surely, 235423202680040 is an apocalyptic number.

35423202680040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35423202680040 is an abundant number, since it is smaller than the sum of its proper divisors (86027777940120).

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

35423202680040 is a wasteful number, since it uses less digits than its factorization.

35423202680040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42170479402 (or 42170479398 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 35423202680040 in words is "thirty-five trillion, four hundred twenty-three billion, two hundred two million, six hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 42170479381 84340958762 126511438143 168681917524 210852396905 253022876286 295193355667 337363835048 421704793810 506045752572 590386711334 632557190715 843409587620 885580067001 1012091505144 1180773422668 1265114381430 1475966778335 1686819175240 1771160134002 2361546845336 2530228762860 2951933556670 3542320268004 4427900335005 5060457525720 5903867113340 7084640536008 8855800670010 11807734226680 17711601340020 35423202680040