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145515019392 = 2732112392
BaseRepresentation
bin1000011110000101011…
…1101111110010000000
3111220121012011220002200
42013201113233302000
54341003321110032
6150503151513200
713340666154021
oct2074127576200
9456535156080
10145515019392
1156792486906
1224250828800
1310950334092
147085c74c48
153bb9eab47c
hex21e15efc80

145515019392 has 72 divisors (see below), whose sum is σ = 418771886715. Its totient is φ = 48500690688.

The previous prime is 145515019369. The next prime is 145515019451. The reversal of 145515019392 is 293910515541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

145515019392 is a `hidden beast` number, since 1 + 4 + 5 + 51 + 501 + 9 + 3 + 92 = 666.

145515019392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 72757509696 + 72757509696 = 269736^2 + 269736^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=269736.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12941709 + ... + 12952947.

Almost surely, 2145515019392 is an apocalyptic number.

145515019392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145515019392 is an abundant number, since it is smaller than the sum of its proper divisors (273256867323).

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

145515019392 is an frugal number, since it uses more digits than its factorization.

145515019392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22498 (or 11244 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 145515019392 in words is "one hundred forty-five billion, five hundred fifteen million, nineteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11239 22478 33717 44956 67434 89912 101151 134868 179824 202302 269736 359648 404604 539472 719296 809208 1078944 1438592 1618416 2157888 3236832 4315776 6473664 12947328 126315121 252630242 378945363 505260484 757890726 1010520968 1136836089 1515781452 2021041936 2273672178 3031562904 4042083872 4547344356 6063125808 8084167744 9094688712 12126251616 16168335488 18189377424 24252503232 36378754848 48505006464 72757509696 145515019392