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21014022040 = 23511196737517
BaseRepresentation
bin10011100100100010…
…001000011110011000
32000020111120220222121
4103210202020132120
5321014042201130
613353111231024
71342514145244
oct234442103630
960214526877
1021014022040
118a0395a870
1240a5678474
131c9b7b428b
141034c43424
1582ecbbd7a
hex4e4888798

21014022040 has 128 divisors (see below), whose sum is σ = 55106438400. Its totient is φ = 7131041280.

The previous prime is 21014021969. The next prime is 21014022053. The reversal of 21014022040 is 4022041012.

It is a congruent number.

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, 541362 + ... + 578878.

It is an arithmetic number, because the mean of its divisors is an integer number (430519050).

Almost surely, 221014022040 is an apocalyptic number.

21014022040 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 21014022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27553219200).

21014022040 is an abundant number, since it is smaller than the sum of its proper divisors (34092416360).

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

21014022040 is a wasteful number, since it uses less digits than its factorization.

21014022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37625 (or 37621 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21014022040 its reverse (4022041012), we get a palindrome (25036063052).

The spelling of 21014022040 in words is "twenty-one billion, fourteen million, twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 67 76 88 95 110 134 152 190 209 220 268 335 380 418 440 536 670 737 760 836 1045 1273 1340 1474 1672 2090 2546 2680 2948 3685 4180 5092 5896 6365 7370 8360 10184 12730 14003 14740 25460 28006 29480 37517 50920 56012 70015 75034 112024 140030 150068 187585 280060 300136 375170 412687 560120 712823 750340 825374 1425646 1500680 1650748 2063435 2513639 2851292 3301496 3564115 4126870 5027278 5702584 7128230 7841053 8253740 10054556 12568195 14256460 15682106 16507480 20109112 25136390 27650029 28512920 31364212 39205265 47759141 50272780 55300058 62728424 78410530 95518282 100545560 110600116 138250145 156821060 191036564 221200232 238795705 276500290 313642120 382073128 477591410 525350551 553000580 955182820 1050701102 1106001160 1910365640 2101402204 2626752755 4202804408 5253505510 10507011020 21014022040