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145312544 = 25131632143
BaseRepresentation
bin10001010100101…
…00101100100000
3101010102122100002
420222110230200
5244200000134
622230315132
73413064506
oct1052245440
9333378302
10145312544
1175030513
12407b8aa8
132414a470
1415428676
15cb5587e
hex8a94b20

145312544 has 48 divisors (see below), whose sum is σ = 310125312. Its totient is φ = 66624768.

The previous prime is 145312543. The next prime is 145312571. The reversal of 145312544 is 445213541.

It is a super-2 number, since 2×1453125442 = 42231470887503872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145312543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66737 + ... + 68879.

It is an arithmetic number, because the mean of its divisors is an integer number (6460944).

Almost surely, 2145312544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145312544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155062656).

145312544 is an abundant number, since it is smaller than the sum of its proper divisors (164812768).

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

145312544 is a wasteful number, since it uses less digits than its factorization.

145312544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2321 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

The square root of 145312544 is about 12054.5652762760. The cubic root of 145312544 is about 525.7359824289.

The spelling of 145312544 in words is "one hundred forty-five million, three hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 163 208 326 416 652 1304 2119 2143 2608 4238 4286 5216 8476 8572 16952 17144 27859 33904 34288 55718 67808 68576 111436 222872 349309 445744 698618 891488 1397236 2794472 4541017 5588944 9082034 11177888 18164068 36328136 72656272 145312544