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21441002240 = 28576139229
BaseRepresentation
bin10011111101111110…
…111011101100000000
32001100021000202201002
4103331332323230000
5322402344032430
613503323031132
71356220340420
oct237576735400
961307022632
1021441002240
119102983369
1241a466b4a8
1320390b1198
14107582c480
1585750e845
hex4fdfbbb00

21441002240 has 144 divisors (see below), whose sum is σ = 59658473280. Its totient is φ = 7230504960.

The previous prime is 21441002221. The next prime is 21441002267. The reversal of 21441002240 is 4220014412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526946 + ... + 566174.

Almost surely, 221441002240 is an apocalyptic number.

21441002240 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 21441002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29829236640).

21441002240 is an abundant number, since it is smaller than the sum of its proper divisors (38217471040).

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

21441002240 is an equidigital number, since it uses as much as digits as its factorization.

21441002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39318 (or 39304 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21441002240 its reverse (4220014412), we get a palindrome (25661016652).

The spelling of 21441002240 in words is "twenty-one billion, four hundred forty-one million, two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 112 122 128 140 160 224 244 256 280 305 320 427 448 488 560 610 640 854 896 976 1120 1220 1280 1708 1792 1952 2135 2240 2440 3416 3904 4270 4480 4880 6832 7808 8540 8960 9760 13664 15616 17080 19520 27328 34160 39040 39229 54656 68320 78080 78458 109312 136640 156916 196145 273280 274603 313832 392290 546560 549206 627664 784580 1098412 1255328 1373015 1569160 2196824 2392969 2510656 2746030 3138320 4393648 4785938 5021312 5492060 6276640 8787296 9571876 10042624 10984120 11964845 12553280 16750783 17574592 19143752 21968240 23929690 25106560 33501566 35149184 38287504 43936480 47859380 50213120 67003132 70298368 76575008 83753915 87872960 95718760 134006264 153150016 167507830 175745920 191437520 268012528 306300032 335015660 351491840 382875040 536025056 612600064 670031320 765750080 1072050112 1340062640 1531500160 2144100224 2680125280 3063000320 4288200448 5360250560 10720501120 21441002240