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145563024432 = 24372241256801
BaseRepresentation
bin1000011110010000111…
…0110111110000110000
3111220201112111210122010
42013210032313300300
54341103113240212
6150512024442520
713342121202300
oct2074416676060
9456645453563
10145563024432
11568075947a1
1224264919440
131095a271427
14708c3ad600
153bbe2e003c
hex21e43b7c30

145563024432 has 120 divisors (see below), whose sum is σ = 439248521712. Its totient is φ = 41416704000.

The previous prime is 145563024413. The next prime is 145563024517. The reversal of 145563024432 is 234420365541.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438432 + ... + 695232.

Almost surely, 2145563024432 is an apocalyptic number.

145563024432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145563024432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219624260856).

145563024432 is an abundant number, since it is smaller than the sum of its proper divisors (293685497280).

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

145563024432 is a wasteful number, since it uses less digits than its factorization.

145563024432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257067 (or 257054 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 145563024432 its reverse (234420365541), we get a palindrome (379983389973).

The spelling of 145563024432 in words is "one hundred forty-five billion, five hundred sixty-three million, twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 241 294 336 392 482 588 723 784 964 1176 1446 1687 1928 2352 2892 3374 3856 5061 5784 6748 10122 11568 11809 13496 20244 23618 26992 35427 40488 47236 70854 80976 94472 141708 188944 256801 283416 513602 566832 770403 1027204 1540806 1797607 2054408 3081612 3595214 4108816 5392821 6163224 7190428 10785642 12326448 12583249 14380856 21571284 25166498 28761712 37749747 43142568 50332996 61889041 75499494 86285136 100665992 123778082 150998988 185667123 201331984 247556164 301997976 371334246 433223287 495112328 603995952 742668492 866446574 990224656 1299669861 1485336984 1732893148 2599339722 2970673968 3032563009 3465786296 5198679444 6065126018 6931572592 9097689027 10397358888 12130252036 18195378054 20794717776 24260504072 36390756108 48521008144 72781512216 145563024432