Search a number
-
+
4575407505144 = 233740966588187
BaseRepresentation
bin100001010010100101110…
…0010011111111011111000
3121012101221000102120120120
41002211023202133323320
51044430413310131034
613421525125453240
7651363602050320
oct102451342377370
917171830376516
104575407505144
11150446828a853
1261a8b2871220
132725c778b128
1411b6453d6280
157e03bcecc49
hex4294b89fef8

4575407505144 has 64 divisors (see below), whose sum is σ = 13104555398400. Its totient is φ = 1304063034624.

The previous prime is 4575407505131. The next prime is 4575407505181. The reversal of 4575407505144 is 4415057045754.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33225382 + ... + 33362805.

It is an arithmetic number, because the mean of its divisors is an integer number (204758678100).

Almost surely, 24575407505144 is an apocalyptic number.

It is an amenable number.

4575407505144 is an abundant number, since it is smaller than the sum of its proper divisors (8529147893256).

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

4575407505144 is a wasteful number, since it uses less digits than its factorization.

4575407505144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66588612 (or 66588608 counting only the distinct ones).

The product of its (nonzero) digits is 7840000, while the sum is 51.

The spelling of 4575407505144 in words is "four trillion, five hundred seventy-five billion, four hundred seven million, five hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 409 818 1227 1636 2454 2863 3272 4908 5726 8589 9816 11452 17178 22904 34356 68712 66588187 133176374 199764561 266352748 399529122 466117309 532705496 799058244 932234618 1398351927 1598116488 1864469236 2796703854 3728938472 5593407708 11186815416 27234568483 54469136966 81703705449 108938273932 163407410898 190641979381 217876547864 326814821796 381283958762 571925938143 653629643592 762567917524 1143851876286 1525135835048 2287703752572 4575407505144