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140231551311225 = 33521118886404217
BaseRepresentation
bin11111111000101000110011…
…110011010101110101111001
3200101112000010220212220102000
4133320220303303111311321
5121340023204113424400
61214125252455131213
741352252365665143
oct3770506363256571
9611460126786360
10140231551311225
1140755959982570
1213889992973b09
136032a176110aa
14268b359875c93
151132b2786c600
hex7f8a33cd5d79

140231551311225 has 48 divisors (see below), whose sum is σ = 281029694763840. Its totient is φ = 67991055177600.

The previous prime is 140231551311211. The next prime is 140231551311251. The reversal of 140231551311225 is 522113155132041.

140231551311225 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 3 + 1 + 5 + 513 + 112 + 25 = 666.

It is not a de Polignac number, because 140231551311225 - 24 = 140231551311209 is a prime.

It is a super-2 number, since 2×1402315513112252 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140231551311225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9443194684 + ... + 9443209533.

It is an arithmetic number, because the mean of its divisors is an integer number (5854785307580).

Almost surely, 2140231551311225 is an apocalyptic number.

140231551311225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140231551311225 is an abundant number, since it is smaller than the sum of its proper divisors (140798143452615).

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

140231551311225 is a wasteful number, since it uses less digits than its factorization.

140231551311225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18886404247 (or 18886404236 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 140231551311225 in words is "one hundred forty trillion, two hundred thirty-one billion, five hundred fifty-one million, three hundred eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 18886404217 56659212651 94432021085 169977637953 207750446387 283296063255 472160105425 509932913859 623251339161 849888189765 1038752231935 1416480316275 1869754017483 2549664569295 3116256695805 4249440948825 5193761159675 5609262052449 9348770087415 12748322846475 15581283479025 28046310262245 46743850437075 140231551311225