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4042300310440 = 235779283645739
BaseRepresentation
bin111010110100101011110…
…111111100001110101000
3112022102212212012010010121
4322310223313330032220
51012212112334413230
612333001312253024
7565021653500260
oct72645367741650
915272785163117
104042300310440
11131936a162a17
12553512241174
13234258601522
14dd91121a7a0
15702398c577a
hex3ad2bdfc3a8

4042300310440 has 128 divisors (see below), whose sum is σ = 10563273216000. Its totient is φ = 1363550692608.

The previous prime is 4042300310437. The next prime is 4042300310509. The reversal of 4042300310440 is 440130032404.

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, 5937091 + ... + 6582829.

It is an arithmetic number, because the mean of its divisors is an integer number (82525572000).

Almost surely, 24042300310440 is an apocalyptic number.

4042300310440 is a gapful number since it is divisible by the number (40) 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 4042300310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281636608000).

4042300310440 is an abundant number, since it is smaller than the sum of its proper divisors (6520972905560).

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

4042300310440 is a wasteful number, since it uses less digits than its factorization.

4042300310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646119 (or 646115 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4042300310440 its reverse (440130032404), we get a palindrome (4482430342844).

The spelling of 4042300310440 in words is "four trillion, forty-two billion, three hundred million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 283 316 395 553 566 632 790 1106 1132 1415 1580 1981 2212 2264 2765 2830 3160 3962 4424 5530 5660 7924 9905 11060 11320 15848 19810 22120 22357 39620 44714 79240 89428 111785 156499 178856 223570 312998 447140 625996 645739 782495 894280 1251992 1291478 1564990 2582956 3129980 3228695 4520173 5165912 6259960 6457390 9040346 12914780 18080692 22600865 25829560 36161384 45201730 51013381 90403460 102026762 180806920 182744137 204053524 255066905 357093667 365488274 408107048 510133810 714187334 730976548 913720685 1020267620 1279208959 1428374668 1461953096 1785468335 1827441370 2040535240 2558417918 2856749336 3570936670 3654882740 5116835836 6396044795 7141873340 7309765480 10233671672 12792089590 14283746680 14436786823 25584179180 28873573646 51168358360 57747147292 72183934115 101057507761 115494294584 144367868230 202115015522 288735736460 404230031044 505287538805 577471472920 808460062088 1010575077610 2021150155220 4042300310440