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145560442764 = 223117373920441
BaseRepresentation
bin1000011110010000010…
…1000001011110001100
3111220201100122122020210
42013210011001132030
54341101433132024
6150511453242420
713342060230462
oct2074405013614
9456640578223
10145560442764
1156806091090
1224263a93410
1310959879309
14708bcda832
153bbde80129
hex21e414178c

145560442764 has 96 divisors (see below), whose sum is σ = 376119717120. Its totient is φ = 43443993600.

The previous prime is 145560442697. The next prime is 145560442789. The reversal of 145560442764 is 467244065541.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7110784 + ... + 7131224.

It is an arithmetic number, because the mean of its divisors is an integer number (3917913720).

Almost surely, 2145560442764 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 145560442764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188059858560).

145560442764 is an abundant number, since it is smaller than the sum of its proper divisors (230559274356).

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

145560442764 is a wasteful number, since it uses less digits than its factorization.

145560442764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21271 (or 21269 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 145560442764 in words is "one hundred forty-five billion, five hundred sixty million, four hundred forty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 739 803 876 1478 1606 2217 2409 2956 3212 4434 4818 8129 8868 9636 16258 20441 24387 32516 40882 48774 53947 61323 81764 97548 107894 122646 161841 215788 224851 245292 323682 449702 593417 647364 674553 899404 1186834 1349106 1492193 1780251 2373668 2698212 2984386 3560502 4476579 5968772 7121004 8953158 15105899 16414123 17906316 30211798 32828246 45317697 49242369 60423596 65656492 90635394 98484738 166164889 181270788 196969476 332329778 498494667 664659556 996989334 1102730627 1993978668 2205461254 3308191881 4410922508 6616383762 12130036897 13232767524 24260073794 36390110691 48520147588 72780221382 145560442764