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1023214300344 = 2332291732832631
BaseRepresentation
bin11101110001111000101…
…00110010110010111000
310121211002120020001212200
432320330110302302320
5113231020330102334
62102020321310200
7133632130022655
oct16707424626270
93554076201780
101023214300344
11364a40885385
12146380495360
137564787b032
143774959ac2c
151b9397a7799
hexee3c532cb8

1023214300344 has 96 divisors (see below), whose sum is σ = 2883336112800. Its totient is φ = 327406705920.

The previous prime is 1023214300321. The next prime is 1023214300369. The reversal of 1023214300344 is 4430034123201.

1023214300344 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 14 + 300 + 344 = 666.

It is a super-2 number, since 2×10232143003442 (a number of 25 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 23 ways as a sum of consecutive naturals, for example, 1055092 + ... + 1777539.

It is an arithmetic number, because the mean of its divisors is an integer number (30034751175).

Almost surely, 21023214300344 is an apocalyptic number.

It is an amenable number.

1023214300344 is an abundant number, since it is smaller than the sum of its proper divisors (1860121812456).

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

1023214300344 is a wasteful number, since it uses less digits than its factorization.

1023214300344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832845 (or 2832838 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1023214300344 its reverse (4430034123201), we get a palindrome (5453248423545).

The spelling of 1023214300344 in words is "one trillion, twenty-three billion, two hundred fourteen million, three hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 173 174 232 261 346 348 519 522 692 696 1038 1044 1384 1557 2076 2088 3114 4152 5017 6228 10034 12456 15051 20068 30102 40136 45153 60204 90306 120408 180612 361224 2832631 5665262 8497893 11330524 16995786 22661048 25493679 33991572 50987358 67983144 82146299 101974716 164292598 203949432 246438897 328585196 490045163 492877794 657170392 739316691 980090326 985755588 1470135489 1478633382 1960180652 1971511176 2940270978 2957266764 3920361304 4410406467 5880541956 5914533528 8820812934 11761083912 14211309727 17641625868 28422619454 35283251736 42633929181 56845238908 85267858362 113690477816 127901787543 170535716724 255803575086 341071433448 511607150172 1023214300344