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2231044002040 = 2357471399121181
BaseRepresentation
bin100000011101110100100…
…101011101000011111000
321220021201021220020101211
4200131310211131003320
5243023134231031130
64424532155452504
7320121231055450
oct40356445350370
97807637806354
102231044002040
117901a91a3217
12300484157134
13132504320b09
1479da98dcd60
153d07ba4ea2a
hex2077495d0f8

2231044002040 has 128 divisors (see below), whose sum is σ = 5863269888000. Its totient is φ = 748112970240.

The previous prime is 2231044002001. The next prime is 2231044002097. The reversal of 2231044002040 is 402004401322.

It is a happy number.

It is a super-3 number, since 3×22310440020403 (a number of 38 digits) contains 333 as substring.

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, 18350250 + ... + 18471430.

It is an arithmetic number, because the mean of its divisors is an integer number (45806796000).

Almost surely, 22231044002040 is an apocalyptic number.

2231044002040 is a gapful number since it is divisible by the number (20) 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 2231044002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931634944000).

2231044002040 is an abundant number, since it is smaller than the sum of its proper divisors (3632225885960).

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

2231044002040 is a wasteful number, since it uses less digits than its factorization.

2231044002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122645 (or 122641 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2231044002040 its reverse (402004401322), we get a palindrome (2633048403362).

The spelling of 2231044002040 in words is "two trillion, two hundred thirty-one billion, forty-four million, two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1399 1645 1880 2632 2798 3290 5596 6580 6995 9793 11192 13160 13990 19586 27980 39172 48965 55960 65753 78344 97930 121181 131506 195860 242362 263012 328765 391720 460271 484724 526024 605905 657530 848267 920542 969448 1211810 1315060 1696534 1841084 2301355 2423620 2630120 3393068 3682168 4241335 4602710 4847240 5695507 6786136 8482670 9205420 11391014 16965340 18410840 22782028 28477535 33930680 39868549 45564056 56955070 79737098 113910140 159474196 169532219 199342745 227820280 318948392 339064438 398685490 678128876 797370980 847661095 1186725533 1356257752 1594741960 1695322190 2373451066 3390644380 4746902132 5933627665 6781288760 7968014293 9493804264 11867255330 15936028586 23734510660 31872057172 39840071465 47469021320 55776100051 63744114344 79680142930 111552200102 159360285860 223104400204 278880500255 318720571720 446208800408 557761000510 1115522001020 2231044002040