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420043001334 = 2311191797612459
BaseRepresentation
bin1100001110011001000…
…00111000110111110110
31111011012112000022222120
412013030200320313312
523340222002020314
6520544243140410
742230025413145
oct6071440706766
91434175008876
10420043001334
11152159361a10
12694a7674706
13307c0bc0948
141648a07d75c
15add630a8a9
hex61cc838df6

420043001334 has 128 divisors (see below), whose sum is σ = 971751168000. Its totient is φ = 119706566400.

The previous prime is 420043001327. The next prime is 420043001359. The reversal of 420043001334 is 433100340024.

It is a super-2 number, since 2×4200430013342 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 170817397 + ... + 170819855.

It is an arithmetic number, because the mean of its divisors is an integer number (7591806000).

Almost surely, 2420043001334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420043001334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485875584000).

420043001334 is an abundant number, since it is smaller than the sum of its proper divisors (551708166666).

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

420043001334 is a wasteful number, since it uses less digits than its factorization.

420043001334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 420043001334 its reverse (433100340024), we get a palindrome (853143341358).

The spelling of 420043001334 in words is "four hundred twenty billion, forty-three million, one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 179 209 358 418 537 627 761 1074 1254 1522 1969 2283 2459 3401 3938 4566 4918 5907 6802 7377 8371 10203 11814 14459 14754 16742 20406 25113 27049 28918 37411 43377 46721 50226 54098 74822 81147 86754 93442 112233 136219 140163 159049 162294 224466 272438 280326 318098 408657 440161 477147 513931 817314 880322 954294 1027862 1320483 1498409 1541793 1871299 2588161 2640966 2996818 3083586 3742598 4495227 4841771 5176322 5613897 7764483 8363059 8990454 9683542 11227794 14525313 15528966 16726118 20584289 25089177 28469771 29050626 35554681 41168578 50178354 56939542 61752867 71109362 85409313 91993649 106664043 123505734 170818626 183987298 213328086 275980947 334962521 391101491 551961894 669925042 782202982 1004887563 1173304473 2009775126 2346608946 3684587731 6364287899 7369175462 11053763193 12728575798 19092863697 22107526386 38185727394 70007166889 140014333778 210021500667 420043001334