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1305425523312 = 243331907107473
BaseRepresentation
bin10010111111110001011…
…011001011001001110000
311121210112100102121001000
4102333301123023021300
5132342002413221222
62435412035242000
7163212442602531
oct22776133131160
94553470377030
101305425523312
1146369a748159
12191000449300
1396141162a71
144727bd76688
1523e553d29ac
hex12ff16cb270

1305425523312 has 160 divisors (see below), whose sum is σ = 3872228034560. Its totient is φ = 420636810240.

The previous prime is 1305425523307. The next prime is 1305425523359. The reversal of 1305425523312 is 2133255245031.

1305425523312 is a `hidden beast` number, since 1 + 30 + 5 + 42 + 552 + 3 + 31 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12092808 + ... + 12200280.

It is an arithmetic number, because the mean of its divisors is an integer number (24201425216).

Almost surely, 21305425523312 is an apocalyptic number.

1305425523312 is a gapful number since it is divisible by the number (12) 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 1305425523312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936114017280).

1305425523312 is an abundant number, since it is smaller than the sum of its proper divisors (2566802511248).

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

1305425523312 is a wasteful number, since it uses less digits than its factorization.

1305425523312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108428 (or 108416 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 1305425523312 in words is "one trillion, three hundred five billion, four hundred twenty-five million, five hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 907 1116 1488 1674 1814 2232 2721 3348 3628 4464 5442 6696 7256 8163 10884 13392 14512 16326 21768 24489 28117 32652 43536 48978 56234 65304 84351 97956 107473 112468 130608 168702 195912 214946 224936 253053 322419 337404 391824 429892 449872 506106 644838 674808 759159 859784 967257 1012212 1289676 1349616 1518318 1719568 1934514 2024424 2579352 2901771 3036636 3331663 3869028 4048848 5158704 5803542 6073272 6663326 7738056 9994989 11607084 12146544 13326652 15476112 19989978 23214168 26653304 29984967 39979956 46428336 53306608 59969934 79959912 89954901 97478011 119939868 159919824 179909802 194956022 239879736 292434033 359819604 389912044 479759472 584868066 719639208 779824088 877302099 1169736132 1439278416 1559648176 1754604198 2339472264 2631906297 3021818341 3509208396 4678944528 5263812594 6043636682 7018416792 9065455023 10527625188 12087273364 14036833584 18130910046 21055250376 24174546728 27196365069 36261820092 42110500752 48349093456 54392730138 72523640184 81589095207 108785460276 145047280368 163178190414 217570920552 326356380828 435141841104 652712761656 1305425523312