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313053363216440 = 235711101640702343
BaseRepresentation
bin100011100101110000110101…
…0100000101010000000111000
31112001102121110010202101101022
41013023201222200222000320
5312013031241440411230
63025450421335442012
7122640234114221120
oct10713415240520070
91461377403671338
10313053363216440
1190826205284590
122b13ba09b26308
131058aa61847242
145743c13b01c80
15262d382c791e5
hex11cb86a82a038

313053363216440 has 64 divisors (see below), whose sum is σ = 878175668252160. Its totient is φ = 97575074248320.

The previous prime is 313053363216413. The next prime is 313053363216487. The reversal of 313053363216440 is 44612363350313.

It is a super-2 number, since 2×3130533632164402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 313053363216391 and 313053363216400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50820348092 + ... + 50820354251.

It is an arithmetic number, because the mean of its divisors is an integer number (13721494816440).

Almost surely, 2313053363216440 is an apocalyptic number.

It is an amenable number.

313053363216440 is an abundant number, since it is smaller than the sum of its proper divisors (565122305035720).

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

313053363216440 is a wasteful number, since it uses less digits than its factorization.

313053363216440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101640702372 (or 101640702368 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 44.

The spelling of 313053363216440 in words is "three hundred thirteen trillion, fifty-three billion, three hundred sixty-three million, two hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 101640702343 203281404686 406562809372 508203511715 711484916401 813125618744 1016407023430 1118047725773 1422969832802 2032814046860 2236095451546 2845939665604 3557424582005 4065628093720 4472190903092 5590238628865 5691879331208 7114849164010 7826334080411 8944381806184 11180477257730 14229698328020 15652668160822 22360954515460 28459396656040 31305336321644 39131670402055 44721909030920 62610672643288 78263340804110 156526681608220 313053363216440