Search a number
-
+
240045757713201 = 311232512417521317
BaseRepresentation
bin110110100101001000000010…
…000111100100101100110001
31011110221011001120202202001110
4312211020002013210230301
5222430402202433310301
62210311255420223533
7101363506436462106
oct6645100207445461
91143834046682043
10240045757713201
116a53891a281620
1222b0a58669aba9
13a3c32aa732c8b
14433c3c324aaad
151cb421aebc0d6
hexda52021e4b31

240045757713201 has 64 divisors (see below), whose sum is σ = 365941814224896. Its totient is φ = 138544940160000.

The previous prime is 240045757713199. The next prime is 240045757713233. The reversal of 240045757713201 is 102317757540042.

It is not a de Polignac number, because 240045757713201 - 21 = 240045757713199 is a prime.

It is a super-2 number, since 2×2400457577132012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240045757713241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460199595 + ... + 460720911.

It is an arithmetic number, because the mean of its divisors is an integer number (5717840847264).

Almost surely, 2240045757713201 is an apocalyptic number.

It is an amenable number.

240045757713201 is a deficient number, since it is larger than the sum of its proper divisors (125896056511695).

240045757713201 is a wasteful number, since it uses less digits than its factorization.

240045757713201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524022.

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 240045757713201 in words is "two hundred forty trillion, forty-five billion, seven hundred fifty-seven million, seven hundred thirteen thousand, two hundred one".

Divisors: 1 3 11 23 33 69 251 253 753 759 2417 2761 5773 7251 8283 17319 26587 55591 63503 79761 166773 190509 521317 606667 611501 1563951 1820001 1834503 5734487 6673337 11990291 13953341 17203461 20020011 35970873 41860023 130850567 131893201 153486751 392551701 395679603 460460253 1260023189 1439356237 3009563041 3780069567 4318068711 9028689123 13860255079 28980533347 33105193451 41580765237 86941600041 99315580353 316265820439 318785866817 948797461317 956357600451 3478924024829 7274113870097 10436772074487 21822341610291 80015252571067 240045757713201