Search a number
-
+
140748344064 = 283320362897
BaseRepresentation
bin1000001100010101000…
…0010100101100000000
3111110021222211200211000
42003011100110230000
54301223034002224
6144354153252000
713111606120266
oct2030520245400
9443258750730
10140748344064
1154766853109
1223340404000
1310370929b33
146b52b8c436
1539db7930c9
hex20c5414b00

140748344064 has 72 divisors (see below), whose sum is σ = 416217635120. Its totient is φ = 46916112384.

The previous prime is 140748344057. The next prime is 140748344101. The reversal of 140748344064 is 460443847041.

It is a happy number.

140748344064 is a `hidden beast` number, since 1 + 4 + 0 + 74 + 83 + 440 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10174537 + ... + 10188360.

Almost surely, 2140748344064 is an apocalyptic number.

It is an amenable number.

140748344064 is an abundant number, since it is smaller than the sum of its proper divisors (275469291056).

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

140748344064 is an equidigital number, since it uses as much as digits as its factorization.

140748344064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20362922 (or 20362902 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 140748344064 in words is "one hundred forty billion, seven hundred forty-eight million, three hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 20362897 40725794 61088691 81451588 122177382 162903176 183266073 244354764 325806352 366532146 488709528 549798219 651612704 733064292 977419056 1099596438 1303225408 1466128584 1954838112 2199192876 2606450816 2932257168 3909676224 4398385752 5212901632 5864514336 7819352448 8796771504 11729028672 15638704896 17593543008 23458057344 35187086016 46916114688 70374172032 140748344064