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656314022340 = 2232537530318583
BaseRepresentation
bin10011000110011110101…
…11010011100111000100
32022202001122121210110100
421203033113103213010
541223112342203330
61221301223124100
765263034100114
oct11431727234704
92282048553410
10656314022340
11233383179029
12a72462a3630
1349b75863412
1423aa13a7044
1512113bc9060
hex98cf5d39c4

656314022340 has 144 divisors (see below), whose sum is σ = 2045120732928. Its totient is φ = 170245608192.

The previous prime is 656314022327. The next prime is 656314022381. The reversal of 656314022340 is 43220413656.

656314022340 is a `hidden beast` number, since 6 + 563 + 1 + 40 + 22 + 34 + 0 = 666.

It is a super-2 number, since 2×6563140223402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 656314022295 and 656314022304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35308689 + ... + 35327271.

It is an arithmetic number, because the mean of its divisors is an integer number (14202227312).

Almost surely, 2656314022340 is an apocalyptic number.

656314022340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656314022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022560366464).

656314022340 is an abundant number, since it is smaller than the sum of its proper divisors (1388806710588).

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

656314022340 is a wasteful number, since it uses less digits than its factorization.

656314022340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23938 (or 23933 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 656314022340 its reverse (43220413656), we get a palindrome (699534435996).

The spelling of 656314022340 in words is "six hundred fifty-six billion, three hundred fourteen million, twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 5303 6660 10606 15909 18583 21212 26515 31818 37166 47727 53030 55749 63636 74332 79545 92915 95454 106060 111498 159090 167247 185830 190908 196211 222996 238635 278745 318180 334494 371660 392422 477270 557490 588633 668988 687571 784844 836235 954540 981055 1114980 1177266 1375142 1672470 1765899 1962110 2062713 2354532 2750284 2943165 3344940 3437855 3531798 3924220 4125426 5886330 6188139 6875710 7063596 8250852 8829495 10313565 11772660 12376278 13751420 17658990 20627130 24752556 30940695 35317980 41254260 61881390 98545649 123762780 197091298 295636947 394182596 492728245 591273894 886910841 985456490 1182547788 1478184735 1773821682 1970912980 2956369470 3547643364 3646189013 4434554205 5912738940 7292378026 8869108410 10938567039 14584756052 17738216820 18230945065 21877134078 32815701117 36461890130 43754268156 54692835195 65631402234 72923780260 109385670390 131262804468 164078505585 218771340780 328157011170 656314022340