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314044320141032 = 231337346123580569
BaseRepresentation
bin100011101100111110010010…
…0001001010100111011101000
31112011221100021122000222111112
41013121330210021110323220
5312130300231424003112
63031525545145445452
7123101645004131615
oct10731744411247350
91464840248028445
10314044320141032
11910784a2668038
122b27ba874a0888
1310630338460190
145779b7d11d50c
152649030655a22
hex11d9f24254ee8

314044320141032 has 64 divisors (see below), whose sum is σ = 651454748053200. Its totient is φ = 140985386403840.

The previous prime is 314044320140989. The next prime is 314044320141053. The reversal of 314044320141032 is 230141023440413.

It can be written as a sum of positive squares in 8 ways, for example, as 74104653860836 + 239939666280196 = 8608406^2 + 15489986^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 314044320141032.

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, 1527644 + ... + 25108212.

Almost surely, 2314044320141032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314044320141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325727374026600).

314044320141032 is an abundant number, since it is smaller than the sum of its proper divisors (337410427912168).

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

314044320141032 is a wasteful number, since it uses less digits than its factorization.

314044320141032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23584086 (or 23584082 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 314044320141032 its reverse (230141023440413), we get a palindrome (544185343581445).

The spelling of 314044320141032 in words is "three hundred fourteen trillion, forty-four billion, three hundred twenty million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 3461 3848 6922 13844 27688 44993 89986 128057 179972 256114 359944 512228 1024456 1664741 3329482 6658964 13317928 23580569 47161138 94322276 188644552 306547397 613094794 872481053 1226189588 1744962106 2452379176 3489924212 6979848424 11342253689 22684507378 45369014756 81612349309 90738029512 163224698618 326449397236 652898794472 1060960541017 2121921082034 3019656924433 4243842164068 6039313848866 8487684328136 12078627697732 24157255395464 39255540017629 78511080035258 157022160070516 314044320141032