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434124311203220 = 2251121151631557707
BaseRepresentation
bin110001010110101010111000…
…1010110111000110110010100
32002221002212201200010000001212
41202231111301112320312110
5423400143042132000340
64135145542204440552
7160304306063203661
oct14255256126706624
92087085650100055
10434124311203220
111163640a5093200
1240834249549158
1315830992bb26c1
14792ba2ba7ca68
15352c8825b1a65
hex18ad5715b8d94

434124311203220 has 72 divisors (see below), whose sum is σ = 1002083064649632. Its totient is φ = 157861913767360.

The previous prime is 434124311203183. The next prime is 434124311203237. The reversal of 434124311203220 is 22302113421434.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277915607 + ... + 279473313.

It is an arithmetic number, because the mean of its divisors is an integer number (13917820342356).

Almost surely, 2434124311203220 is an apocalyptic number.

It is an amenable number.

434124311203220 is an abundant number, since it is smaller than the sum of its proper divisors (567958753446412).

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

434124311203220 is a wasteful number, since it uses less digits than its factorization.

434124311203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672901 (or 1672888 counting only the distinct ones).

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

Adding to 434124311203220 its reverse (22302113421434), we get a palindrome (456426424624654).

The spelling of 434124311203220 in words is "four hundred thirty-four trillion, one hundred twenty-four billion, three hundred eleven million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 115163 230326 460652 575815 1151630 1266793 1557707 2303260 2533586 3115414 5067172 6230828 6333965 7788535 12667930 13934723 15577070 17134777 25335860 27869446 31154140 34269554 55738892 68539108 69673615 85673885 139347230 171347770 188482547 278694460 342695540 376965094 753930188 942412735 1884825470 3769650940 179390211241 358780422482 717560844964 896951056205 1793902112410 1973292323651 3587804224820 3946584647302 7893169294604 9866461618255 19732923236510 21706215560161 39465846473020 43412431120322 86824862240644 108531077800805 217062155601610 434124311203220