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120456340555656 = 233723174671784737
BaseRepresentation
bin11011011000110111101101…
…011000111100011110001000
3120210111111212111001011202210
4123120313231120330132020
5111242024041140240111
61104104513502425120
734241453261000010
oct3330675530743610
9523444774034683
10120456340555656
1135421279a539a6
12116152b48921a0
135229ca4300cc1
1421a6191aa0c40
15ddd52c39c0a6
hex6d8ded63c788

120456340555656 has 128 divisors (see below), whose sum is σ = 359145254983680. Its totient is φ = 32917842118656.

The previous prime is 120456340555571. The next prime is 120456340555667. The reversal of 120456340555656 is 656555043654021.

It is a super-4 number, since 4×1204563405556564 (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120456340555596 and 120456340555605.

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, 66600120 + ... + 68384856.

It is an arithmetic number, because the mean of its divisors is an integer number (2805822304560).

Almost surely, 2120456340555656 is an apocalyptic number.

It is an amenable number.

120456340555656 is an abundant number, since it is smaller than the sum of its proper divisors (238688914428024).

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

120456340555656 is a wasteful number, since it uses less digits than its factorization.

120456340555656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802243 (or 1802239 counting only the distinct ones).

The product of its (nonzero) digits is 64800000, while the sum is 57.

The spelling of 120456340555656 in words is "one hundred twenty trillion, four hundred fifty-six billion, three hundred forty million, five hundred fifty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 17467 34934 52401 69868 104802 122269 139736 209604 244538 366807 401741 419208 489076 733614 803482 978152 1205223 1467228 1606964 1784737 2410446 2812187 2934456 3213928 3569474 4820892 5354211 5624374 7138948 8436561 9641784 10708422 11248748 12493159 14277896 16873122 21416844 22497496 24986318 33746244 37479477 41048951 42833688 49972636 67492488 74958954 82097902 99945272 123146853 149917908 164195804 246293706 287342657 299835816 328391608 492587412 574685314 862027971 985174824 1149370628 1724055942 2298741256 3448111884 6896223768 31174001179 62348002358 93522003537 124696004716 187044007074 218218008253 249392009432 374088014148 436436016506 654654024759 717002027117 748176028296 872872033012 1309308049518 1434004054234 1745744066024 2151006081351 2618616099036 2868008108468 4302012162702 5019014189819 5237232198072 5736016216936 8604024325404 10038028379638 15057042569457 17208048650808 20076056759276 30114085138914 40152113518552 60228170277828 120456340555656