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2314257688980 = 223451938173709
BaseRepresentation
bin100001101011010100100…
…000011110100110010100
322012020111121010112010000
4201223110200132212110
5300404044432021410
64531053313531300
7326125314533646
oct41532440364624
98166447115100
102314257688980
11812520150916
12314628273b30
1313a3061a7223
14800213c6896
15402ec221dc0
hex21ad481e994

2314257688980 has 120 divisors (see below), whose sum is σ = 7260385172040. Its totient is φ = 617095169280.

The previous prime is 2314257688949. The next prime is 2314257689021. The reversal of 2314257688980 is 898867524132.

2314257688980 is a `hidden beast` number, since 2 + 314 + 257 + 68 + 8 + 9 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48588503184 + 2265669185796 = 220428^2 + 1505214^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31360366 + ... + 31434074.

It is an arithmetic number, because the mean of its divisors is an integer number (60503209767).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2314257688980 = 4628515377960, but 3⋅2314257688980 = 6942773066940 is not.

Almost surely, 22314257688980 is an apocalyptic number.

2314257688980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314257688980 is an abundant number, since it is smaller than the sum of its proper divisors (4946127483060).

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

2314257688980 is a wasteful number, since it uses less digits than its factorization.

2314257688980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93111 (or 93100 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2314257688980 in words is "two trillion, three hundred fourteen billion, two hundred fifty-seven million, six hundred eighty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 19381 38762 58143 73709 77524 96905 116286 147418 174429 193810 221127 232572 290715 294836 348858 368545 387620 442254 523287 581430 663381 697716 737090 872145 884508 1046574 1105635 1162860 1326762 1474180 1569861 1744290 1990143 2093148 2211270 2616435 2653524 3139722 3316905 3488580 3980286 4422540 5232870 5970429 6279444 6633810 7849305 7960572 9950715 10465740 11940858 13267620 15698610 19901430 23881716 29852145 31397220 39802860 59704290 119408580 1428554129 2857108258 4285662387 5714216516 7142770645 8571324774 12856987161 14285541290 17142649548 21428311935 25713974322 28571082580 38570961483 42856623870 51427948644 64284935805 77141922966 85713247740 115712884449 128569871610 154283845932 192854807415 231425768898 257139743220 385709614830 462851537796 578564422245 771419229660 1157128844490 2314257688980