Search a number
-
+
240744150136420 = 225717112578985787
BaseRepresentation
bin110110101111010010011101…
…100011001111011001100100
31011120101220201202022210000121
4312233102131203033121210
5223023323004413331140
62212004200305451324
7101465122316230630
oct6657223543173144
91146356652283017
10240744150136420
116a788025623a67
12230019b4940b44
13a4440cab13548
144364116c47dc0
151cc7493d7a64a
hexdaf49d8cf664

240744150136420 has 96 divisors (see below), whose sum is σ = 611827783886592. Its totient is φ = 77678597541888.

The previous prime is 240744150136363. The next prime is 240744150136439. The reversal of 240744150136420 is 24631051447042.

It is a happy number.

It is a super-2 number, since 2×2407441501364202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22298767 + ... + 31284553.

It is an arithmetic number, because the mean of its divisors is an integer number (6373206082152).

Almost surely, 2240744150136420 is an apocalyptic number.

240744150136420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240744150136420 is an abundant number, since it is smaller than the sum of its proper divisors (371083633750172).

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

240744150136420 is a wasteful number, since it uses less digits than its factorization.

240744150136420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8997077 (or 8997075 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 240744150136420 in words is "two hundred forty trillion, seven hundred forty-four billion, one hundred fifty million, one hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 11257 22514 45028 56285 78799 112570 157598 191369 225140 315196 382738 393995 765476 787990 956845 1339583 1575980 1913690 2679166 3827380 5358332 6697915 8985787 13395830 17971574 26791660 35943148 44928935 62900509 89857870 125801018 152758379 179715740 251602036 305516758 314502545 611033516 629005090 763791895 1069308653 1258010180 1527583790 2138617306 3055167580 4277234612 5346543265 10693086530 21386173060 101153004259 202306008518 404612017036 505765021295 708071029813 1011530042590 1416142059626 1719601072403 2023060085180 2832284119252 3439202144806 3540355149065 6878404289612 7080710298130 8598005362015 12037207506821 14161420596260 17196010724030 24074415013642 34392021448060 48148830027284 60186037534105 120372075068210 240744150136420