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145626501420 = 22325809036119
BaseRepresentation
bin1000011110100000000…
…1000001000100101100
3111220212221221202200200
42013220001001010230
54341220341021140
6150522213153500
713343521560351
oct2075001010454
9456787852620
10145626501420
115683a3aaa14
122428202b890
131096a467b8a
1470969b4628
153bc4b7d030
hex21e804112c

145626501420 has 36 divisors (see below), whose sum is σ = 441733721520. Its totient is φ = 38833733664.

The previous prime is 145626501409. The next prime is 145626501421. The reversal of 145626501420 is 24105626541.

145626501420 is a `hidden beast` number, since 1 + 4 + 5 + 626 + 5 + 0 + 1 + 4 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (145626501421) 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, 404517880 + ... + 404518239.

Almost surely, 2145626501420 is an apocalyptic number.

145626501420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145626501420 is an abundant number, since it is smaller than the sum of its proper divisors (296107220100).

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

145626501420 is a wasteful number, since it uses less digits than its factorization.

145626501420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809036134 (or 809036129 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 145626501420 in words is "one hundred forty-five billion, six hundred twenty-six million, five hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 809036119 1618072238 2427108357 3236144476 4045180595 4854216714 7281325071 8090361190 9708433428 12135541785 14562650142 16180722380 24271083570 29125300284 36406625355 48542167140 72813250710 145626501420