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140918102240 = 2552837310447
BaseRepresentation
bin1000001100111101011…
…1111001100011100000
3111110201211021022020212
42003033113321203200
54302100013232430
6144423055553252
713116040051136
oct2031727714340
9443654238225
10140918102240
115484365aa23
122338922b828
1310399b56066
146b6b53b756
1539eb626b95
hex20cf5f98e0

140918102240 has 48 divisors (see below), whose sum is σ = 333037438272. Its totient is φ = 56347190784.

The previous prime is 140918102239. The next prime is 140918102287. The reversal of 140918102240 is 42201819041.

It is a happy number.

140918102240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 140918102197 and 140918102206.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 298697 + ... + 609143.

It is an arithmetic number, because the mean of its divisors is an integer number (6938279964).

Almost surely, 2140918102240 is an apocalyptic number.

140918102240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140918102240 is an abundant number, since it is smaller than the sum of its proper divisors (192119336032).

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

140918102240 is a wasteful number, since it uses less digits than its factorization.

140918102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313299 (or 313291 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 140918102240 in words is "one hundred forty billion, nine hundred eighteen million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2837 5674 11348 14185 22696 28370 45392 56740 90784 113480 226960 310447 453920 620894 1241788 1552235 2483576 3104470 4967152 6208940 9934304 12417880 24835760 49671520 880738139 1761476278 3522952556 4403690695 7045905112 8807381390 14091810224 17614762780 28183620448 35229525560 70459051120 140918102240