Search a number
-
+
145123455433104 = 24327912756984479
BaseRepresentation
bin100000111111110100110000…
…000000100111100110010000
3201000211200000010112110121200
4200333310300000213212100
5123010200314042324404
61232352443421551200
742365552340644511
oct4077646000474620
9630750003473550
10145123455433104
114227156a25a965
1214339a93715500
1362c91108231a5
1427ba026c96a08
1511b9eda21a839
hex83fd30027990

145123455433104 has 60 divisors (see below), whose sum is σ = 411285179635200. Its totient is φ = 47762149885632.

The previous prime is 145123455433097. The next prime is 145123455433109. The reversal of 145123455433104 is 401334554321541.

145123455433104 is a `hidden beast` number, since 1 + 4 + 5 + 123 + 455 + 43 + 31 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145123455433104.

It is not an unprimeable number, because it can be changed into a prime (145123455433109) 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, 6378480864 + ... + 6378503615.

It is an arithmetic number, because the mean of its divisors is an integer number (6854752993920).

Almost surely, 2145123455433104 is an apocalyptic number.

It is an amenable number.

145123455433104 is an abundant number, since it is smaller than the sum of its proper divisors (266161724202096).

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

145123455433104 is a wasteful number, since it uses less digits than its factorization.

145123455433104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12756984572 (or 12756984563 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 145123455433104 in words is "one hundred forty-five trillion, one hundred twenty-three billion, four hundred fifty-five million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 11376 12756984479 25513968958 38270953437 51027937916 76541906874 102055875832 114812860311 153083813748 204111751664 229625720622 306167627496 459251441244 612335254992 918502882488 1007801773841 1837005764976 2015603547682 3023405321523 4031207095364 6046810643046 8062414190728 9070215964569 12093621286092 16124828381456 18140431929138 24187242572184 36280863858276 48374485144368 72561727716552 145123455433104