Search a number
-
+
140695634277288 = 23321954106031629
BaseRepresentation
bin11111111111011001000001…
…010011010111001110101000
3200110011101000122212020122100
4133333121001103113032220
5121420124124333333123
61215122403155453400
741430631656056046
oct3777310123271650
9613141018766570
10140695634277288
1140914757692842
121394390b2b7260
13606770655945c
1426a59c287b396
15113ec3a17b643
hex7ff6414d73a8

140695634277288 has 24 divisors (see below), whose sum is σ = 381050676167850. Its totient is φ = 46898544759072.

The previous prime is 140695634277257. The next prime is 140695634277313. The reversal of 140695634277288 is 882772436596041.

140695634277288 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 9 + 56 + 3 + 427 + 72 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81275309539524 + 59420324737764 = 9015282^2 + 7708458^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×1406956342772883 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 1954106031629 = 140695634277288 / (1 + 4 + 0 + 6 + 9 + 5 + 6 + 3 + 4 + 2 + 7 + 7 + 2 + 8 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 977053015743 + ... + 977053015886.

It is a 1-persistent number, because it is pandigital, but 2⋅140695634277288 = 281391268554576 is not.

Almost surely, 2140695634277288 is an apocalyptic number.

140695634277288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

140695634277288 is an abundant number, since it is smaller than the sum of its proper divisors (240355041890562).

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

140695634277288 is a wasteful number, since it uses less digits than its factorization.

140695634277288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954106031641 (or 1954106031634 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 140695634277288 in words is "one hundred forty trillion, six hundred ninety-five billion, six hundred thirty-four million, two hundred seventy-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1954106031629 3908212063258 5862318094887 7816424126516 11724636189774 15632848253032 17586954284661 23449272379548 35173908569322 46898544759096 70347817138644 140695634277288