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35742034412140 = 22572311100010687
BaseRepresentation
bin10000010000001110101110…
…10000111100001001101100
311200112220102211110122221111
420020013113100330021230
514141044141302142030
6204003355224241404
710346163634523410
oct1010072720741154
9150486384418844
1035742034412140
11104301256a61a1
124013067010264
1316c35c8358364
148b7cd089ad40
1541eaeb99862a
hex2081d743c26c

35742034412140 has 48 divisors (see below), whose sum is σ = 89510486188032. Its totient is φ = 11721611284416.

The previous prime is 35742034412129. The next prime is 35742034412141. The reversal of 35742034412140 is 4121443024753.

It is a junction number, because it is equal to n+sod(n) for n = 35742034412093 and 35742034412102.

It is not an unprimeable number, because it can be changed into a prime (35742034412141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5550002124 + ... + 5550008563.

It is an arithmetic number, because the mean of its divisors is an integer number (1864801795584).

Almost surely, 235742034412140 is an apocalyptic number.

It is an amenable number.

35742034412140 is an abundant number, since it is smaller than the sum of its proper divisors (53768451775892).

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

35742034412140 is a wasteful number, since it uses less digits than its factorization.

35742034412140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100010726 (or 11100010724 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

Adding to 35742034412140 its reverse (4121443024753), we get a palindrome (39863477436893).

The spelling of 35742034412140 in words is "thirty-five trillion, seven hundred forty-two billion, thirty-four million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 11100010687 22200021374 44400042748 55500053435 77700074809 111000106870 155400149618 222000213740 255300245801 310800299236 388500374045 510600491602 777000748090 1021200983204 1276501229005 1554001496180 1787101720607 2553002458010 3574203441214 5106004916020 7148406882428 8935508603035 17871017206070 35742034412140