Search a number
-
+
141840948096 = 273413680647
BaseRepresentation
bin1000010000011001100…
…0010001101110000000
3111120010010202201210000
42010012120101232000
54310442240314341
6145054423440000
713150644110631
oct2040630215600
9446103681700
10141840948096
1155177576751
12235a62b6000
13104b60bb2b3
146c17d23888
153a526678b6
hex2106611b80

141840948096 has 80 divisors (see below), whose sum is σ = 422116394040. Its totient is φ = 47280312576.

The previous prime is 141840948047. The next prime is 141840948149. The reversal of 141840948096 is 690849048141.

It is a happy number.

141840948096 is a `hidden beast` number, since 141 + 8 + 409 + 4 + 8 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6829956 + ... + 6850691.

Almost surely, 2141840948096 is an apocalyptic number.

141840948096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141840948096 is an abundant number, since it is smaller than the sum of its proper divisors (280275445944).

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

141840948096 is an equidigital number, since it uses as much as digits as its factorization.

141840948096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13680673 (or 13680652 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

It can be divided in two parts, 141840 and 948096, that added together give a square (1089936 = 10442).

The spelling of 141840948096 in words is "one hundred forty-one billion, eight hundred forty million, nine hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 13680647 27361294 41041941 54722588 82083882 109445176 123125823 164167764 218890352 246251646 328335528 369377469 437780704 492503292 656671056 738754938 875561408 985006584 1108132407 1313342112 1477509876 1751122816 1970013168 2216264814 2626684224 2955019752 3940026336 4432529628 5253368448 5910039504 7880052672 8865059256 11820079008 15760105344 17730118512 23640158016 35460237024 47280316032 70920474048 141840948096