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420320233146 = 2311191073838179
BaseRepresentation
bin1100001110111010000…
…10011100011010111010
31111011220211200011112110
412013131002130122322
523341303434430041
6521031545153150
742236633014152
oct6073502343272
91434824604473
10420320233146
111522908a5310
126956448b7b6
1330836479338
14164b4c07762
15ae0081d516
hex61dd09c6ba

420320233146 has 128 divisors (see below), whose sum is σ = 977013964800. Its totient is φ = 119211687360.

The previous prime is 420320233121. The next prime is 420320233171. The reversal of 420320233146 is 641332023024.

It is an interprime number because it is at equal distance from previous prime (420320233121) and next prime (420320233171).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51386085 + ... + 51394263.

It is an arithmetic number, because the mean of its divisors is an integer number (7632921600).

Almost surely, 2420320233146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420320233146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488506982400).

420320233146 is an abundant number, since it is smaller than the sum of its proper divisors (556693731654).

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

420320233146 is a wasteful number, since it uses less digits than its factorization.

420320233146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704.

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 420320233146 in words is "four hundred twenty billion, three hundred twenty million, two hundred thirty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 107 114 209 214 321 383 418 627 642 766 1149 1177 1254 2033 2298 2354 3531 4066 4213 6099 7062 7277 8179 8426 12198 12639 14554 16358 21831 22363 24537 25278 40981 43662 44726 49074 67089 80047 81962 89969 122943 134178 155401 160094 179938 240141 245886 269907 310802 450791 466203 480282 539814 778639 875153 901582 932406 1352373 1557278 1709411 1750306 2335917 2625459 2704746 3132557 3418822 4671834 5128233 5250918 6265114 8565029 9397671 9626683 10256466 16627907 17130058 18795342 19253366 25695087 28880049 33255814 34458127 49883721 51390174 57760098 59518583 68916254 99767442 103374381 119037166 178555749 182906977 206748762 335183599 357111498 365813954 548720931 654704413 670367198 1005550797 1097441862 1309408826 1964113239 2011101594 3687019589 3928226478 6368488381 7374039178 11061058767 12736976762 19105465143 22122117534 38210930286 70053372191 140106744382 210160116573 420320233146