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312404241660540 = 223529179542667621
BaseRepresentation
bin100011100001000010100011…
…1110110011011101001111100
31111222010112221202000202000220
41013002011013312123221330
5311421412341331114130
63024232305524021340
7122542314224066631
oct10702050766335174
91458115852022026
10312404241660540
11905a5993067aa7
122b056050531850
1310541794137033
145720635a76188
15261b540736410
hex11c2147d9ba7c

312404241660540 has 48 divisors (see below), whose sum is σ = 904895044814880. Its totient is φ = 80435115093760.

The previous prime is 312404241660499. The next prime is 312404241660559. The reversal of 312404241660540 is 45066142404213.

It is a super-2 number, since 2×3124042416605402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312404241660492 and 312404241660501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89771332071 + ... + 89771335550.

It is an arithmetic number, because the mean of its divisors is an integer number (18851980100310).

Almost surely, 2312404241660540 is an apocalyptic number.

312404241660540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312404241660540 is an abundant number, since it is smaller than the sum of its proper divisors (592490803154340).

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

312404241660540 is a wasteful number, since it uses less digits than its factorization.

312404241660540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179542667662 (or 179542667660 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 312404241660540 in words is "three hundred twelve trillion, four hundred four billion, two hundred forty-one million, six hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 179542667621 359085335242 538628002863 718170670484 897713338105 1077256005726 1795426676210 2154512011452 2693140014315 3590853352420 5206737361009 5386280028630 10413474722018 10772560057260 15620212083027 20826949444036 26033686805045 31240424166054 52067373610090 62480848332108 78101060415135 104134747220180 156202120830270 312404241660540