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21370522440 = 23351993472579
BaseRepresentation
bin10011111001110010…
…000100101101001000
32001011100102000121010
4103321302010231020
5322231323204230
613452324243520
71354403305101
oct237162045510
961140360533
1021370522440
1190771148a3
124184b405a0
132027605167
14106a3233a8
1585123b9b0
hex4f9c84b48

21370522440 has 128 divisors (see below), whose sum is σ = 64644480000. Its totient is φ = 5651635968.

The previous prime is 21370522423. The next prime is 21370522507. The reversal of 21370522440 is 4422507312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21370522398 and 21370522407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8285071 + ... + 8287649.

It is an arithmetic number, because the mean of its divisors is an integer number (505035000).

Almost surely, 221370522440 is an apocalyptic number.

21370522440 is a gapful number since it is divisible by the number (20) 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 21370522440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32322240000).

21370522440 is an abundant number, since it is smaller than the sum of its proper divisors (43273957560).

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

21370522440 is a wasteful number, since it uses less digits than its factorization.

21370522440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 21370522440 in words is "twenty-one billion, three hundred seventy million, five hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 347 398 597 694 796 995 1041 1194 1388 1592 1735 1990 2082 2388 2579 2776 2985 3470 3980 4164 4776 5158 5205 5970 6940 7737 7960 8328 10316 10410 11940 12895 13880 15474 20632 20820 23880 25790 30948 38685 41640 51580 61896 69053 77370 103160 138106 154740 207159 276212 309480 345265 414318 513221 552424 690530 828636 894913 1026442 1035795 1381060 1539663 1657272 1789826 2052884 2071590 2566105 2684739 2762120 3079326 3579652 4105768 4143180 4474565 5132210 5369478 6158652 7159304 7698315 8286360 8949130 10264420 10738956 12317304 13423695 15396630 17898260 20528840 21477912 26847390 30793260 35796520 53694780 61586520 107389560 178087687 356175374 534263061 712350748 890438435 1068526122 1424701496 1780876870 2137052244 2671315305 3561753740 4274104488 5342630610 7123507480 10685261220 21370522440