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145360017432 = 23327241201819
BaseRepresentation
bin1000011101100000100…
…0011101100000011000
3111220012101111222101100
42013120020131200120
54340144131024212
6150435533351400
713334104522200
oct2073010354030
9456171458340
10145360017432
1156712a38613
1224208938560
13109271a3546
14706d447400
153bab58ebdc
hex21d821d818

145360017432 has 72 divisors (see below), whose sum is σ = 457958229300. Its totient is φ = 41531432544.

The previous prime is 145360017421. The next prime is 145360017449. The reversal of 145360017432 is 234710063541.

145360017432 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 600 + 1 + 7 + 43 + 2 = 666.

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

It is a super-2 number, since 2×1453600174322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20597382 + ... + 20604437.

Almost surely, 2145360017432 is an apocalyptic number.

145360017432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145360017432 is an abundant number, since it is smaller than the sum of its proper divisors (312598211868).

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

145360017432 is a wasteful number, since it uses less digits than its factorization.

145360017432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41201845 (or 41201831 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 145360017432 in words is "one hundred forty-five billion, three hundred sixty million, seventeen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 41201819 82403638 123605457 164807276 247210914 288412733 329614552 370816371 494421828 576825466 741632742 865238199 988843656 1153650932 1483265484 1730476398 2018889131 2307301864 2595714597 2966530968 3460952796 4037778262 5191429194 6056667393 6921905592 8075556524 10382858388 12113334786 16151113048 18170002179 20765716776 24226669572 36340004358 48453339144 72680008716 145360017432