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1130422233344 = 2841672336899
BaseRepresentation
bin10000011100110010011…
…010100110100100000000
311000001211001212100100212
4100130302122212210000
5122010101042431334
62223150411333252
7144445626305255
oct20346232464400
94001731770325
101130422233344
113a64559761a8
12163100151228
13827a1797791
143c9d9a2342c
151e6116d0ece
hex107326a6900

1130422233344 has 144 divisors (see below), whose sum is σ = 2356373073600. Its totient is φ = 540785541120.

The previous prime is 1130422233229. The next prime is 1130422233359. The reversal of 1130422233344 is 4433322240311.

It is a super-3 number, since 3×11304222333443 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1130422233344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163849607 + ... + 163856505.

It is an arithmetic number, because the mean of its divisors is an integer number (16363701900).

Almost surely, 21130422233344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130422233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178186536800).

1130422233344 is an abundant number, since it is smaller than the sum of its proper divisors (1225950840256).

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

1130422233344 is an equidigital number, since it uses as much as digits as its factorization.

1130422233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 1130422233344 its reverse (4433322240311), we get a palindrome (5563744473655).

The spelling of 1130422233344 in words is "one trillion, one hundred thirty billion, four hundred twenty-two million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 67 82 128 134 164 233 256 268 328 466 536 656 932 1072 1312 1864 2144 2624 2747 3728 4288 5248 5494 6899 7456 8576 9553 10496 10988 13798 14912 15611 17152 19106 21976 27596 29824 31222 38212 43952 55192 59648 62444 76424 87904 110384 124888 152848 175808 220768 249776 282859 305696 351616 441536 462233 499552 565718 611392 640051 703232 883072 924466 999104 1131436 1222784 1280102 1607467 1766144 1848932 1998208 2262872 2445568 2560204 3214934 3697864 3996416 4525744 5120408 6429868 7395728 9051488 10240816 12859736 14791456 18102976 18951553 20481632 25719472 29582912 36205952 37903106 40963264 51438944 59165824 65906147 72411904 75806212 81926528 102877888 107700289 118331648 131812294 151612424 163853056 205755776 215400578 263624588 303224848 411511552 430801156 527249176 606449696 861602312 1054498352 1212899392 1723204624 2108996704 2425798784 3446409248 4217993408 4415711849 4851597568 6892818496 8435986816 8831423698 13785636992 16871973632 17662847396 27571273984 35325694792 70651389584 141302779168 282605558336 565211116672 1130422233344