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21444313240 = 23573123910337
BaseRepresentation
bin10011111110001011…
…100100000010011000
32001100111020222112201
4103332023210002120
5322404221010430
613503522015544
71356260440450
oct237613440230
961314228481
1021444313240
119104834a29
1241a57a75b4
1320399a025c
141076050d60
158579658ca
hex4fe2e4098

21444313240 has 128 divisors (see below), whose sum is σ = 57165004800. Its totient is φ = 7084707840.

The previous prime is 21444313193. The next prime is 21444313337. The reversal of 21444313240 is 4231344412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 21444313199 and 21444313208.

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, 2069352 + ... + 2079688.

It is an arithmetic number, because the mean of its divisors is an integer number (446601600).

Almost surely, 221444313240 is an apocalyptic number.

21444313240 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 21444313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28582502400).

21444313240 is an abundant number, since it is smaller than the sum of its proper divisors (35720691560).

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

21444313240 is a wasteful number, since it uses less digits than its factorization.

21444313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 21444313240 its reverse (4231344412), we get a palindrome (25675657652).

The spelling of 21444313240 in words is "twenty-one billion, four hundred forty-four million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 239 248 280 310 434 478 620 868 956 1085 1195 1240 1673 1736 1912 2170 2390 3346 4340 4780 6692 7409 8365 8680 9560 10337 13384 14818 16730 20674 29636 33460 37045 41348 51685 51863 59272 66920 72359 74090 82696 103370 103726 144718 148180 206740 207452 259315 289436 296360 320447 361795 413480 414904 518630 578872 640894 723590 1037260 1281788 1447180 1602235 2074520 2243129 2470543 2563576 2894360 3204470 4486258 4941086 6408940 8972516 9882172 11215645 12352715 12817880 17293801 17945032 19764344 22431290 24705430 34587602 44862580 49410860 69175204 76586833 86469005 89725160 98821720 138350408 153173666 172938010 306347332 345876020 382934165 536107831 612694664 691752040 765868330 1072215662 1531736660 2144431324 2680539155 3063473320 4288862648 5361078310 10722156620 21444313240