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145204021224 = 23331056763617
BaseRepresentation
bin1000011100111011010…
…1011000011111101000
3111212210111222112211000
42013032311120133220
54334334212134344
6150412242035000
713330201546563
oct2071665303750
9455714875730
10145204021224
1156642980329
1224184648a60
1310900a852b2
14705683b4da
153b9ca28a69
hex21ced587e8

145204021224 has 64 divisors (see below), whose sum is σ = 403389014400. Its totient is φ = 48395999232.

The previous prime is 145204021223. The next prime is 145204021247. The reversal of 145204021224 is 422120402541.

It is a happy number.

145204021224 is a `hidden beast` number, since 14 + 5 + 20 + 402 + 1 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145204021223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2250664 + ... + 2314280.

It is an arithmetic number, because the mean of its divisors is an integer number (6302953350).

Almost surely, 2145204021224 is an apocalyptic number.

It is an amenable number.

145204021224 is an abundant number, since it is smaller than the sum of its proper divisors (258184993176).

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

145204021224 is a wasteful number, since it uses less digits than its factorization.

145204021224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74199 (or 74189 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 145204021224 its reverse (422120402541), we get a palindrome (567324423765).

The spelling of 145204021224 in words is "one hundred forty-five billion, two hundred four million, twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 10567 21134 31701 42268 63402 63617 84536 95103 126804 127234 190206 190851 253608 254468 285309 380412 381702 508936 570618 572553 760824 763404 1141236 1145106 1526808 1717659 2282472 2290212 3435318 4580424 6870636 13741272 672240839 1344481678 2016722517 2688963356 4033445034 5377926712 6050167551 8066890068 12100335102 16133780136 18150502653 24200670204 36301005306 48401340408 72602010612 145204021224