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146051432634640 = 24513210802620757
BaseRepresentation
bin100001001101010100111111…
…110000101101100100010000
3201011010101021110100122101111
4201031110333300231210100
5123120401313223302030
61234343034001543104
742522603440006341
oct4115247760554420
9634111243318344
10146051432634640
114259a079195315
12144698b5344a94
13636578b576c00
14280ccd9bb60c8
1511d41ed9a862a
hex84d53fc2d910

146051432634640 has 60 divisors (see below), whose sum is σ = 367699605360804. Its totient is φ = 53926682813952.

The previous prime is 146051432634593. The next prime is 146051432634671. The reversal of 146051432634640 is 46436234150641.

It can be written as a sum of positive squares in 6 ways, for example, as 39254585561104 + 106796847073536 = 6265348^2 + 10334256^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5401296859 + ... + 5401323898.

Almost surely, 2146051432634640 is an apocalyptic number.

146051432634640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146051432634640 is an abundant number, since it is smaller than the sum of its proper divisors (221648172726164).

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

146051432634640 is a wasteful number, since it uses less digits than its factorization.

146051432634640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10802620796 (or 10802620777 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 49.

The spelling of 146051432634640 in words is "one hundred forty-six trillion, fifty-one billion, four hundred thirty-two million, six hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 10802620757 21605241514 43210483028 54013103785 86420966056 108026207570 140434069841 172841932112 216052415140 280868139682 432104830280 561736279364 702170349205 864209660560 1123472558728 1404340698410 1825642907933 2246945117456 2808681396820 3651285815866 5617362793640 7302571631732 9128214539665 11234725587280 14605143263464 18256429079330 29210286526928 36512858158660 73025716317320 146051432634640