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21014442240 = 283511497501
BaseRepresentation
bin10011100100100011…
…101111000100000000
32000020112101021101120
4103210203233010000
5321014144122430
613353124232240
71342520545311
oct234443570400
960215337346
1021014442240
118a04117540
1240a583b680
131c9b90060c
141034d12608
1582ed51610
hex4e48ef100

21014442240 has 144 divisors (see below), whose sum is σ = 73216374336. Its totient is φ = 5094400000.

The previous prime is 21014442227. The next prime is 21014442247. The reversal of 21014442240 is 4224441012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21014442240.

It is not an unprimeable number, because it can be changed into a prime (21014442247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206511 + ... + 290990.

It is an arithmetic number, because the mean of its divisors is an integer number (508447044).

Almost surely, 221014442240 is an apocalyptic number.

21014442240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21014442240 is an abundant number, since it is smaller than the sum of its proper divisors (52201932096).

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

21014442240 is a wasteful number, since it uses less digits than its factorization.

21014442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497536 (or 497522 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 21014442240 its reverse (4224441012), we get a palindrome (25238883252).

The spelling of 21014442240 in words is "twenty-one billion, fourteen million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 497501 995002 1492503 1990004 2487505 2985006 3980008 4975010 5472511 5970012 7462515 7960016 9950020 10945022 11940024 14925030 15920032 16417533 19900040 21890044 23880048 27362555 29850060 31840064 32835066 39800080 43780088 47760096 54725110 59700120 63680128 65670132 79600160 82087665 87560176 95520192 109450220 119400240 127360256 131340264 159200320 164175330 175120352 191040384 218900440 238800480 262680528 318400640 328350660 350240704 382080768 437800880 477600960 525361056 636801280 656701320 700481408 875601760 955201920 1050722112 1313402640 1400962816 1751203520 1910403840 2101444224 2626805280 3502407040 4202888448 5253610560 7004814080 10507221120 21014442240