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145361413536 = 2533121575631
BaseRepresentation
bin1000011101100000110…
…1110010010110100000
3111220012111010220110220
42013120031302112200
54340200010213121
6150440023323040
713334122425363
oct2073015622640
9456174126426
10145361413536
1156713801519
12242092b0480
1310927571b41
14706d6cc0da
153bab7686c6
hex21d83725a0

145361413536 has 72 divisors (see below), whose sum is σ = 394279849152. Its totient is φ = 46890748800.

The previous prime is 145361413531. The next prime is 145361413537. The reversal of 145361413536 is 635314163541.

It is a super-2 number, since 2×1453614135362 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145361413531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 695560 + ... + 880071.

It is an arithmetic number, because the mean of its divisors is an integer number (5476109016).

Almost surely, 2145361413536 is an apocalyptic number.

145361413536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145361413536 is an abundant number, since it is smaller than the sum of its proper divisors (248918435616).

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

145361413536 is a wasteful number, since it uses less digits than its factorization.

145361413536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575706 (or 1575667 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The spelling of 145361413536 in words is "one hundred forty-five billion, three hundred sixty-one million, four hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 961 992 1488 1922 2883 2976 3844 5766 7688 11532 15376 23064 30752 46128 92256 1575631 3151262 4726893 6302524 9453786 12605048 18907572 25210096 37815144 48844561 50420192 75630288 97689122 146533683 151260576 195378244 293067366 390756488 586134732 781512976 1172269464 1514181391 1563025952 2344538928 3028362782 4542544173 4689077856 6056725564 9085088346 12113451128 18170176692 24226902256 36340353384 48453804512 72680706768 145361413536