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21442023402432 = 263314637780757
BaseRepresentation
bin1001110000000010111000…
…01100000010101111000000
32210220211121110220022221220
410320001130030002233000
510302301230442334212
6113334155104115040
74342064220504123
oct470013414025700
983824543808856
1021442023402432
116917569244586
1224a3736305a80
13bc6c8821c4b9
14541b29a623ba
15272b5246438c
hex13805c302bc0

21442023402432 has 112 divisors (see below), whose sum is σ = 58688576950272. Its totient is φ = 6901841802240.

The previous prime is 21442023402389. The next prime is 21442023402451. The reversal of 21442023402432 is 23420432024412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21442023402393 and 21442023402402.

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, 1134603 + ... + 6646154.

Almost surely, 221442023402432 is an apocalyptic number.

It is an amenable number.

21442023402432 is an abundant number, since it is smaller than the sum of its proper divisors (37246553547840).

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

21442023402432 is a wasteful number, since it uses less digits than its factorization.

21442023402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7781266 (or 7781256 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 21442023402432 its reverse (23420432024412), we get a palindrome (44862455426844).

The spelling of 21442023402432 in words is "twenty-one trillion, four hundred forty-two billion, twenty-three million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 463 496 744 926 992 1389 1488 1852 1984 2778 2976 3704 5556 5952 7408 11112 14353 14816 22224 28706 29632 43059 44448 57412 86118 88896 114824 172236 229648 344472 459296 688944 918592 1377888 2755776 7780757 15561514 23342271 31123028 46684542 62246056 93369084 124492112 186738168 241203467 248984224 373476336 482406934 497968448 723610401 746952672 964813868 1447220802 1493905344 1929627736 2894441604 3602490491 3859255472 5788883208 7204980982 7718510944 10807471473 11577766416 14409961964 15437021888 21614942946 23155532832 28819923928 43229885892 46311065664 57639847856 86459771784 111677205221 115279695712 172919543568 223354410442 230559391424 335031615663 345839087136 446708820884 670063231326 691678174272 893417641768 1340126462652 1786835283536 2680252925304 3573670567072 5360505850608 7147341134144 10721011701216 21442023402432