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20441314240 = 2654110714561
BaseRepresentation
bin10011000010011001…
…011011001111000000
31221202120221100120121
4103002121123033000
5313330434023430
613220212150024
71322361206224
oct230231331700
957676840517
1020441314240
11873a652a36
123b65908314
131c09c53019
14dbcb62784
157e9890a7a
hex4c265b3c0

20441314240 has 112 divisors (see below), whose sum is σ = 50332562784. Its totient is φ = 7902003200.

The previous prime is 20441314211. The next prime is 20441314241. The reversal of 20441314240 is 4241314402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20441314241) 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, 1396560 + ... + 1411120.

It is an arithmetic number, because the mean of its divisors is an integer number (449397882).

Almost surely, 220441314240 is an apocalyptic number.

20441314240 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 20441314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25166281392).

20441314240 is an abundant number, since it is smaller than the sum of its proper divisors (29891248544).

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

20441314240 is a wasteful number, since it uses less digits than its factorization.

20441314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14726 (or 14716 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 20441314240 its reverse (4241314402), we get a palindrome (24682628642).

The spelling of 20441314240 in words is "twenty billion, four hundred forty-one million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 107 160 164 205 214 320 328 410 428 535 656 820 856 1070 1312 1640 1712 2140 2624 3280 3424 4280 4387 6560 6848 8560 8774 13120 14561 17120 17548 21935 29122 34240 35096 43870 58244 70192 72805 87740 116488 140384 145610 175480 232976 280768 291220 350960 465952 582440 597001 701920 931904 1164880 1194002 1403840 1558027 2329760 2388004 2985005 3116054 4659520 4776008 5970010 6232108 7790135 9552016 11940020 12464216 15580270 19104032 23880040 24928432 31160540 38208064 47760080 49856864 62321080 63879107 95520160 99713728 124642160 127758214 191040320 249284320 255516428 319395535 498568640 511032856 638791070 1022065712 1277582140 2044131424 2555164280 4088262848 5110328560 10220657120 20441314240