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340241240131320 = 2335111715162265603
BaseRepresentation
bin100110101011100101001011…
…0010000011000011011111000
31122121200202010000202000112010
41031113022112100120123320
5324044003024433200240
63203344400133445520
7131444422053032613
oct11527122620303370
91577622100660463
10340241240131320
1199458554a8a850
12321b1046aa08a0
13117b07c3c769c8
146003a9a17917a
1529506c72ed280
hex13572964186f8

340241240131320 has 128 divisors (see below), whose sum is σ = 1179017773367040. Its totient is φ = 77630799882240.

The previous prime is 340241240131297. The next prime is 340241240131367. The reversal of 340241240131320 is 23131042142043.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 7581110362 + ... + 7581155241.

It is an arithmetic number, because the mean of its divisors is an integer number (9211076354430).

Almost surely, 2340241240131320 is an apocalyptic number.

340241240131320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340241240131320 is an abundant number, since it is smaller than the sum of its proper divisors (838776533235720).

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

340241240131320 is a wasteful number, since it uses less digits than its factorization.

340241240131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15162265645 (or 15162265641 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 340241240131320 its reverse (23131042142043), we get a palindrome (363372282273363).

The spelling of 340241240131320 in words is "three hundred forty trillion, two hundred forty-one billion, two hundred forty million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 15162265603 30324531206 45486796809 60649062412 75811328015 90973593618 121298124824 151622656030 166784921633 181947187236 227433984045 257758515251 303245312060 333569843266 363894374472 454867968090 500354764899 515517030502 606490624120 667139686532 773275545753 833924608165 909735936180 1000709529798 1031034061004 1288792576255 1334279373064 1546551091506 1667849216330 1819471872360 2001419059596 2062068122008 2501773824495 2577585152510 2835343667761 3093102183012 3335698432660 3866377728765 4002838119192 5003547648990 5155170305020 5670687335522 6186204366024 6671396865320 7732755457530 8506031003283 10007095297980 10310340610040 11341374671044 14176718338805 15465510915060 17012062006566 20014190595960 22682749342088 28353436677610 30931021830120 34024124013132 42530155016415 56706873355220 68048248026264 85060310032830 113413746710440 170120620065660 340241240131320