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140591561376 = 2537827252979
BaseRepresentation
bin1000001011101111101…
…0001111101010100000
3111102220001211022101210
42002323322033222200
54300412414431001
6144330433030120
713104663361020
oct2027372175240
9442801738353
10140591561376
11546962a8a42
12232b79b5340
13103472c4906
146b3a019a80
1539ccb23dd6
hex20bbe8faa0

140591561376 has 96 divisors (see below), whose sum is σ = 422286359040. Its totient is φ = 40120286976.

The previous prime is 140591561329. The next prime is 140591561377. The reversal of 140591561376 is 673165195041.

It is a happy number.

140591561376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (140591561377) 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, 429255 + ... + 682233.

It is an arithmetic number, because the mean of its divisors is an integer number (4398816240).

Almost surely, 2140591561376 is an apocalyptic number.

140591561376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140591561376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211143179520).

140591561376 is an abundant number, since it is smaller than the sum of its proper divisors (281694797664).

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

140591561376 is a wasteful number, since it uses less digits than its factorization.

140591561376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253826 (or 253818 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 140591561376 in words is "one hundred forty billion, five hundred ninety-one million, five hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 827 1654 2481 3308 4962 5789 6616 9924 11578 13232 17367 19848 23156 26464 34734 39696 46312 69468 79392 92624 138936 185248 252979 277872 505958 555744 758937 1011916 1517874 1770853 2023832 3035748 3541706 4047664 5312559 6071496 7083412 8095328 10625118 12142992 14166824 21250236 24285984 28333648 42500472 56667296 85000944 170001888 209213633 418427266 627640899 836854532 1255281798 1464495431 1673709064 2510563596 2928990862 3347418128 4393486293 5021127192 5857981724 6694836256 8786972586 10042254384 11715963448 17573945172 20084508768 23431926896 35147890344 46863853792 70295780688 140591561376