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21440434404352 = 210292712664197
BaseRepresentation
bin1001101111111111111010…
…11110011111110000000000
32210220200111201220212101011
410313333331132133300000
510302240002201414402
6113333333302250304
74342006644315505
oct467777536376000
983820451825334
1021440434404352
1169169232a7827
1224a3372126994
13bc6a93c69352
14541a189d34ac
15272aacbd9ed7
hex137ffd79fc00

21440434404352 has 88 divisors (see below), whose sum is σ = 44501484576960. Its totient is φ = 10312356741120.

The previous prime is 21440434404341. The next prime is 21440434404421. The reversal of 21440434404352 is 25340443404412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6715518 + ... + 9379714.

Almost surely, 221440434404352 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 21440434404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22250742288480).

21440434404352 is an abundant number, since it is smaller than the sum of its proper divisors (23061050172608).

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

21440434404352 is a wasteful number, since it uses less digits than its factorization.

21440434404352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664517 (or 2664499 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

Adding to 21440434404352 its reverse (25340443404412), we get a palindrome (46780877808764).

The spelling of 21440434404352 in words is "twenty-one trillion, four hundred forty billion, four hundred thirty-four million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 271 464 512 542 928 1024 1084 1856 2168 3712 4336 7424 7859 8672 14848 15718 17344 29696 31436 34688 62872 69376 125744 138752 251488 277504 502976 1005952 2011904 2664197 4023808 5328394 8047616 10656788 21313576 42627152 77261713 85254304 154523426 170508608 309046852 341017216 618093704 682034432 721997387 1236187408 1364068864 1443994774 2472374816 2728137728 2887989548 4944749632 5775979096 9889499264 11551958192 19778998528 20937924223 23103916384 39557997056 41875848446 46207832768 79115994112 83751696892 92415665536 167503393784 184831331072 335006787568 369662662144 670013575136 739325324288 1340027150272 2680054300544 5360108601088 10720217202176 21440434404352