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151453544144 = 2472193180541
BaseRepresentation
bin1000110100001101010…
…1011010111011010000
3112110221001120012120212
42031003111122323100
54440134101403034
6153324331023252
713641105612200
oct2150325327320
9473831505525
10151453544144
115925a639401
122542959ab28
1311388757556
14748a840400
153e164ee2ce
hex234355aed0

151453544144 has 30 divisors (see below), whose sum is σ = 341350017714. Its totient is φ = 64908661440.

The previous prime is 151453544131. The next prime is 151453544149. The reversal of 151453544144 is 441445354151.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 82031833744 + 69421710400 = 286412^2 + 263480^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151453544149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96589487 + ... + 96591054.

Almost surely, 2151453544144 is an apocalyptic number.

151453544144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151453544144 is an abundant number, since it is smaller than the sum of its proper divisors (189896473570).

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

151453544144 is a wasteful number, since it uses less digits than its factorization.

151453544144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193180563 (or 193180550 counting only the distinct ones).

The product of its digits is 384000, while the sum is 41.

Adding to 151453544144 its reverse (441445354151), we get a palindrome (592898898295).

The spelling of 151453544144 in words is "one hundred fifty-one billion, four hundred fifty-three million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 193180541 386361082 772722164 1352263787 1545444328 2704527574 3090888656 5409055148 9465846509 10818110296 18931693018 21636220592 37863386036 75726772072 151453544144