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21402241303344 = 2431153943781043
BaseRepresentation
bin1001101110111000110001…
…11111011000001100110000
32210210000220222212022022120
410313130120333120030300
510301123242233201334
6113304015351434240
74336155330315006
oct467343077301460
983700828768276
1021402241303344
116901704295740
122497a93385980
13bc32b83510b5
1453dc343b6a76
15271ac4b70949
hex137718fd8330

21402241303344 has 160 divisors (see below), whose sum is σ = 61460704191744. Its totient is φ = 6362406435840.

The previous prime is 21402241303309. The next prime is 21402241303361. The reversal of 21402241303344 is 44330314220412.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264044487 + ... + 264125529.

Almost surely, 221402241303344 is an apocalyptic number.

21402241303344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21402241303344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30730352095872).

21402241303344 is an abundant number, since it is smaller than the sum of its proper divisors (40058462888400).

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

21402241303344 is a wasteful number, since it uses less digits than its factorization.

21402241303344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90555 (or 90549 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 21402241303344 its reverse (44330314220412), we get a palindrome (65732555523756).

The spelling of 21402241303344 in words is "twenty-one trillion, four hundred two billion, two hundred forty-one million, three hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 848 1166 1272 1749 2332 2544 3498 4664 6996 9328 9437 13992 18874 27984 28311 37748 56622 75496 81043 103807 113244 150992 162086 207614 226488 243129 311421 324172 415228 452976 486258 500161 622842 648344 830456 891473 972516 1000322 1245684 1296688 1500483 1660912 1782946 1945032 2000644 2491368 2674419 3000966 3565892 3890064 4001288 4295279 4982736 5348838 5501771 6001932 7131784 8002576 8590558 10697676 11003542 12003864 12885837 14263568 16505313 17181116 21395352 22007084 24007728 25771674 33010626 34362232 42790704 44014168 47248069 51543348 66021252 68724464 88028336 94496138 103086696 132042504 141744207 188992276 206173392 264085008 283488414 377984552 566976828 755969104 764802791 1133953656 1529605582 2267907312 2294408373 3059211164 4588816746 6118422328 8412830701 9177633492 12236844656 16825661402 18355266984 25238492103 33651322804 36710533968 40534547923 50476984206 67302645608 81069095846 100953968412 121603643769 134605291216 162138191692 201907936824 243207287538 324276383384 403815873648 445880027153 486414575076 648552766768 891760054306 972829150152 1337640081459 1783520108612 1945658300304 2675280162918 3567040217224 5350560325836 7134080434448 10701120651672 21402241303344