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431326055313220 = 225295325717545609
BaseRepresentation
bin110001000010010011110110…
…0010011110010111101000100
32002120012100221101222101020211
41202010213230103302331010
5423013321230130010340
64125204242045405204
7156565164512452444
oct14204475423627504
92076170841871224
10431326055313220
11115485397639351
1240461a67269804
1315689b45b23722
147872414752124
1534ceba94aa5ea
hex18849ec4f2f44

431326055313220 has 96 divisors (see below), whose sum is σ = 954737142559200. Its totient is φ = 163431402860544.

The previous prime is 431326055313217. The next prime is 431326055313253. The reversal of 431326055313220 is 22313550623134.

It can be written as a sum of positive squares in 16 ways, for example, as 1827952672324 + 429498102640896 = 1352018^2 + 20724336^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790267776 + ... + 790813384.

It is an arithmetic number, because the mean of its divisors is an integer number (9945178568325).

Almost surely, 2431326055313220 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 431326055313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477368571279600).

431326055313220 is an abundant number, since it is smaller than the sum of its proper divisors (523411087245980).

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

431326055313220 is a wasteful number, since it uses less digits than its factorization.

431326055313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571417 (or 571415 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 431326055313220 in words is "four hundred thirty-one trillion, three hundred twenty-six billion, fifty-five million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 1060 1537 3074 6148 7685 15370 25717 30740 51434 102868 128585 257170 514340 545609 745793 1091218 1363001 1491586 2182436 2726002 2728045 2983172 3728965 5452004 5456090 6815005 7457930 10912180 13630010 14915860 15822661 27260020 28917277 31645322 39527029 57834554 63290644 79054058 79113305 115669108 144586385 158108116 158226610 197635145 289172770 316453220 395270290 578345540 790540580 838601033 1677202066 3354404132 4193005165 8386010330 14031426653 16772020660 28062853306 56125706612 70157133265 140314266530 280628533060 406911372937 743665612609 813822745874 1487331225218 1627645491748 2034556864685 2974662450436 3718328063045 4069113729370 7436656126090 8138227458740 14873312252180 21566302765661 43132605531322 86265211062644 107831513828305 215663027656610 431326055313220