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151448919440 = 245713191736329
BaseRepresentation
bin1000110100001100001…
…1110001110110010000
3112110220201212020200112
42031003003301312100
54440131410410230
6153324043540452
713641021401120
oct2150303616620
9473821766615
10151448919440
1159257a6a835
1225427b2a728
13113877c8540
147489d98c80
153e15dd8d95
hex23430f1d90

151448919440 has 320 divisors, whose sum is σ = 458895628800. Its totient is φ = 45138788352.

The previous prime is 151448919389. The next prime is 151448919463. The reversal of 151448919440 is 44919844151.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23926196 + ... + 23932524.

It is an arithmetic number, because the mean of its divisors is an integer number (1434048840).

Almost surely, 2151448919440 is an apocalyptic number.

151448919440 is a gapful number since it is divisible by the number (10) 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 151448919440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229447814400).

151448919440 is an abundant number, since it is smaller than the sum of its proper divisors (307446709360).

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

151448919440 is a wasteful number, since it uses less digits than its factorization.

151448919440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6554 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 151448919440 in words is "one hundred fifty-one billion, four hundred forty-eight million, nine hundred nineteen thousand, four hundred forty".