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20412121440 = 253559720767
BaseRepresentation
bin10011000000101010…
…000100000101100000
31221200120000012120210
4103000222010011200
5313301000341230
613213250334120
71321555112064
oct230052040540
957616005523
1020412121440
118725123a57
123b57b8a340
131c03ba1589
14db8d23aa4
157e7025eb0
hex4c0a84160

20412121440 has 96 divisors (see below), whose sum is σ = 65388072960. Its totient is φ = 5350966784.

The previous prime is 20412121369. The next prime is 20412121469. The reversal of 20412121440 is 4412121402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 332064 + ... + 388703.

It is an arithmetic number, because the mean of its divisors is an integer number (681125760).

Almost surely, 220412121440 is an apocalyptic number.

20412121440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20412121440 is an abundant number, since it is smaller than the sum of its proper divisors (44975951520).

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

20412121440 is a wasteful number, since it uses less digits than its factorization.

20412121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720844 (or 720836 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 20412121440 its reverse (4412121402), we get a palindrome (24824242842).

The spelling of 20412121440 in words is "twenty billion, four hundred twelve million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1180 1416 1770 1888 2360 2832 3540 4720 5664 7080 9440 14160 28320 720767 1441534 2162301 2883068 3603835 4324602 5766136 7207670 8649204 10811505 11532272 14415340 17298408 21623010 23064544 28830680 34596816 42525253 43246020 57661360 69193632 85050506 86492040 115322720 127575759 170101012 172984080 212626265 255151518 340202024 345968160 425252530 510303036 637878795 680404048 850505060 1020606072 1275757590 1360808096 1701010120 2041212144 2551515180 3402020240 4082424288 5103030360 6804040480 10206060720 20412121440