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21215004440 = 2357792833389
BaseRepresentation
bin10011110000100000…
…110100011100011000
32000202111202220000012
4103300200310130120
5321422020120230
613425051101052
71350504363620
oct236040643430
960674686005
1021215004440
118aa7353923
124140a41788
132001323786
1410537dd880
1584276c395
hex4f0834718

21215004440 has 128 divisors (see below), whose sum is σ = 55454976000. Its totient is φ = 7154155008.

The previous prime is 21215004407. The next prime is 21215004467. The reversal of 21215004440 is 4440051212.

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, 6258266 + ... + 6261654.

It is an arithmetic number, because the mean of its divisors is an integer number (433242000).

Almost surely, 221215004440 is an apocalyptic number.

21215004440 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 21215004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27727488000).

21215004440 is an abundant number, since it is smaller than the sum of its proper divisors (34239971560).

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

21215004440 is a wasteful number, since it uses less digits than its factorization.

21215004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 21215004440 its reverse (4440051212), we get a palindrome (25655055652).

The spelling of 21215004440 in words is "twenty-one billion, two hundred fifteen million, four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 283 316 395 553 566 632 790 1106 1132 1415 1580 1981 2212 2264 2765 2830 3160 3389 3962 4424 5530 5660 6778 7924 9905 11060 11320 13556 15848 16945 19810 22120 22357 23723 27112 33890 39620 44714 47446 67780 79240 89428 94892 111785 118615 135560 156499 178856 189784 223570 237230 267731 312998 447140 474460 535462 625996 782495 894280 948920 959087 1070924 1251992 1338655 1564990 1874117 1918174 2141848 2677310 3129980 3748234 3836348 4795435 5354620 6259960 6713609 7496468 7672696 9370585 9590870 10709240 13427218 14992936 18741170 19181740 26854436 33568045 37482340 38363480 53708872 67136090 74964680 75767873 134272180 151535746 268544360 303071492 378839365 530375111 606142984 757678730 1060750222 1515357460 2121500444 2651875555 3030714920 4243000888 5303751110 10607502220 21215004440