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145470561763104 = 25324911028729363
BaseRepresentation
bin100001000100111000000001…
…001010001011111100100000
3201002001211221120022222222200
4201010320001022023330200
5123031342202302404404
61233220130431133200
742432621063035214
oct4104700112137440
9632054846288880
10145470561763104
114239579a7840a6
1214395204974200
136322a79a59036
1427ccb542c0944
1511c40531d0839
hex844e0128bf20

145470561763104 has 72 divisors (see below), whose sum is σ = 414524439765072. Its totient is φ = 48391429188480.

The previous prime is 145470561763067. The next prime is 145470561763147. The reversal of 145470561763104 is 401367165074541.

It is a happy number.

145470561763104 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 7 + 0 + 5 + 617 + 6 + 3 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514223274 + ... + 514506089.

It is an arithmetic number, because the mean of its divisors is an integer number (5757283885626).

Almost surely, 2145470561763104 is an apocalyptic number.

It is an amenable number.

145470561763104 is an abundant number, since it is smaller than the sum of its proper divisors (269053878001968).

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

145470561763104 is a wasteful number, since it uses less digits than its factorization.

145470561763104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028729870 (or 1028729859 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 145470561763104 in words is "one hundred forty-five trillion, four hundred seventy billion, five hundred sixty-one million, seven hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 491 982 1473 1964 2946 3928 4419 5892 7856 8838 11784 15712 17676 23568 35352 47136 70704 141408 1028729363 2057458726 3086188089 4114917452 6172376178 8229834904 9258564267 12344752356 16459669808 18517128534 24689504712 32919339616 37034257068 49379009424 74068514136 98758018848 148137028272 296274056544 505106117233 1010212234466 1515318351699 2020424468932 3030636703398 4040848937864 4545955055097 6061273406796 8081697875728 9091910110194 12122546813592 16163395751456 18183820220388 24245093627184 36367640440776 48490187254368 72735280881552 145470561763104