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145415512 = 231119292999
BaseRepresentation
bin10001010101011…
…01110101011000
3101010121212120201
420222231311120
5244211244022
622232431544
73414003634
oct1052556530
9333555521
10145415512
11750a0910
12408485b4
13241852a8
1415453dc4
15cb76127
hex8aadd58

145415512 has 64 divisors (see below), whose sum is σ = 324000000. Its totient is φ = 60439680.

The previous prime is 145415497. The next prime is 145415563. The reversal of 145415512 is 215514541.

145415512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1454155122 = 42291342260444288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46989 + ... + 49987.

It is an arithmetic number, because the mean of its divisors is an integer number (5062500).

Almost surely, 2145415512 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 145415512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162000000).

145415512 is an abundant number, since it is smaller than the sum of its proper divisors (178584488).

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

145415512 is a wasteful number, since it uses less digits than its factorization.

145415512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3060 counting only the distinct ones).

The product of its digits is 4000, while the sum is 28.

The square root of 145415512 is about 12058.8354329927. The cubic root of 145415512 is about 525.8601313835.

The spelling of 145415512 in words is "one hundred forty-five million, four hundred fifteen thousand, five hundred twelve".

Divisors: 1 2 4 8 11 19 22 29 38 44 58 76 88 116 152 209 232 319 418 551 638 836 1102 1276 1672 2204 2552 2999 4408 5998 6061 11996 12122 23992 24244 32989 48488 56981 65978 86971 113962 131956 173942 227924 263912 347884 455848 626791 695768 956681 1253582 1652449 1913362 2507164 3304898 3826724 5014328 6609796 7653448 13219592 18176939 36353878 72707756 145415512