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145202125400199 = 32723949371953311
BaseRepresentation
bin100001000000111110000001…
…000110101110100010000111
3201001010012001202221212110200
4201000332001012232202013
5123012442423100301244
61232452534024221543
742404336012432250
oct4100760106564207
9631105052855420
10145202125400199
11422a196a41659a
121435118a00a8b3
13630366a23608a
1427bdb6b133b27
1511bc091a65669
hex840f811ae887

145202125400199 has 48 divisors (see below), whose sum is σ = 240750548213760. Its totient is φ = 82608698954880.

The previous prime is 145202125400177. The next prime is 145202125400249. The reversal of 145202125400199 is 991004521202541.

145202125400199 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 0 + 2 + 12 + 540 + 0 + 1 + 99 = 666.

It is not a de Polignac number, because 145202125400199 - 28 = 145202125399943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145202125400699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73359754 + ... + 75313064.

It is an arithmetic number, because the mean of its divisors is an integer number (5015636421120).

Almost surely, 2145202125400199 is an apocalyptic number.

145202125400199 is a deficient number, since it is larger than the sum of its proper divisors (95548422813561).

145202125400199 is a wasteful number, since it uses less digits than its factorization.

145202125400199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958500 (or 1958497 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 145202125400199 in words is "one hundred forty-five trillion, two hundred two billion, one hundred twenty-five million, four hundred thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 21 63 239 717 1673 2151 4937 5019 14811 15057 34559 44433 103677 311031 1179943 1953311 3539829 5859933 8259601 10619487 13673177 17579799 24778803 41019531 74336409 123058593 466841329 1400523987 3267889303 4201571961 9643496407 9803667909 28930489221 29411003727 67504474849 86791467663 202513424547 607540273641 2304795641273 6914386923819 16133569488911 20743160771457 48400708466733 145202125400199