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145932404121 = 3272181912
BaseRepresentation
bin1000011111101000111…
…1111100010110011001
3111221200021120020022100
42013322033330112121
54342332143412441
6151012421514013
713354224653100
oct2077217742631
9457607506270
10145932404121
1156987046169
1224348572909
13109b89515aa
1470c5483037
153be1955cb6
hex21fa3fc599

145932404121 has 27 divisors (see below), whose sum is σ = 245219628693. Its totient is φ = 83385361080.

The previous prime is 145932404113. The next prime is 145932404141. The reversal of 145932404121 is 121404239541.

The square root of 145932404121 is 382011.

It is a perfect power (a square), and thus also a powerful number.

145932404121 is a `hidden beast` number, since 1 + 4 + 593 + 2 + 4 + 0 + 41 + 21 = 666.

It is not a de Polignac number, because 145932404121 - 23 = 145932404113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145932404141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8013136 + ... + 8031326.

Almost surely, 2145932404121 is an apocalyptic number.

145932404121 is the 382011-st square number.

145932404121 is the 191006-th centered octagonal number.

It is an amenable number.

145932404121 is a deficient number, since it is larger than the sum of its proper divisors (99287224572).

145932404121 is an frugal number, since it uses more digits than its factorization.

145932404121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36402 (or 18201 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 145932404121 by its sum of digits (36), we get a square (5253566548356 = 22920662).

The spelling of 145932404121 in words is "one hundred forty-five billion, nine hundred thirty-two million, four hundred four thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 18191 54573 127337 163719 382011 891359 1146033 2674077 8022231 330912481 992737443 2316387367 2978212329 6949162101 16214711569 20847486303 48644134707 145932404121