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145414420512 = 25312891175123
BaseRepresentation
bin1000011101101101011…
…1111111100000100000
3111220100011212221101020
42013123113333200200
54340302042424022
6150445155405440
713335335115564
oct2073327774040
9456304787336
10145414420512
1156740716439
1224222bb3880
1310935540b0a
1470767696a4
153bb123935c
hex21db5ff820

145414420512 has 48 divisors (see below), whose sum is σ = 382009309920. Its totient is φ = 48433828352.

The previous prime is 145414420447. The next prime is 145414420517. The reversal of 145414420512 is 215024414541.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1454144205122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145414420517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463818 + ... + 711305.

It is an arithmetic number, because the mean of its divisors is an integer number (7958527290).

Almost surely, 2145414420512 is an apocalyptic number.

145414420512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145414420512 is an abundant number, since it is smaller than the sum of its proper divisors (236594889408).

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

145414420512 is a wasteful number, since it uses less digits than its factorization.

145414420512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176425 (or 1176417 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 145414420512 in words is "one hundred forty-five billion, four hundred fourteen million, four hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1289 2578 3867 5156 7734 10312 15468 20624 30936 41248 61872 123744 1175123 2350246 3525369 4700492 7050738 9400984 14101476 18801968 28202952 37603936 56405904 112811808 1514733547 3029467094 4544200641 6058934188 9088401282 12117868376 18176802564 24235736752 36353605128 48471473504 72707210256 145414420512