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22314369138432 = 28374788313581
BaseRepresentation
bin1010001001011011110000…
…00010111011111100000000
32221000020021202022020200020
411010231320002323330000
510411044311444412212
6115243025112453440
74462105604065230
oct504557002737400
987006252266606
1022314369138432
11712351a70a538
1226048110aa280
13c5b30b5acc87
14572042375cc0
1528a6abc6ed8c
hex144b780bbf00

22314369138432 has 144 divisors (see below), whose sum is σ = 69316977257472. Its totient is φ = 6239884308480.

The previous prime is 22314369138317. The next prime is 22314369138461. The reversal of 22314369138432 is 23483196341322.

It is a happy number.

It is a super-3 number, since 3×223143691384323 (a number of 41 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 15 ways as a sum of consecutive naturals, for example, 43904119 + ... + 44409462.

Almost surely, 222314369138432 is an apocalyptic number.

It is an amenable number.

22314369138432 is an abundant number, since it is smaller than the sum of its proper divisors (47002608119040).

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

22314369138432 is an equidigital number, since it uses as much as digits as its factorization.

22314369138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88313654 (or 88313640 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 51.

The spelling of 22314369138432 in words is "twenty-two trillion, three hundred fourteen billion, three hundred sixty-nine million, one hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 256 282 329 336 376 384 448 564 658 672 752 768 896 987 1128 1316 1344 1504 1792 1974 2256 2632 2688 3008 3948 4512 5264 5376 6016 7896 9024 10528 12032 15792 18048 21056 31584 36096 42112 63168 84224 126336 252672 88313581 176627162 264940743 353254324 529881486 618195067 706508648 1059762972 1236390134 1413017296 1854585201 2119525944 2472780268 2826034592 3709170402 4150738307 4239051888 4945560536 5652069184 7418340804 8301476614 8478103776 9891121072 11304138368 12452214921 14836681608 16602953228 16956207552 19782242144 22608276736 24904429842 29055168149 29673363216 33205906456 33912415104 39564484288 49808859684 58110336298 59346726432 66411812912 67824830208 79128968576 87165504447 99617719368 116220672596 118693452864 132823625824 158257937152 174331008894 199235438736 232441345192 237386905728 265647251648 348662017788 398470877472 464882690384 474773811456 531294503296 697324035576 796941754944 929765380768 1062589006592 1394648071152 1593883509888 1859530761536 2789296142304 3187767019776 3719061523072 5578592284608 7438123046144 11157184569216 22314369138432