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20271014040 = 2335712818467
BaseRepresentation
bin10010111000001111…
…110010000010011000
31221022201111012121210
4102320033302002120
5313003334422130
613151250103120
71315222530204
oct227017620230
957281435553
1020271014040
118662505972
123b1887aaa0
131bb0897184
14da42b1b04
157d99515b0
hex4b83f2098

20271014040 has 128 divisors (see below), whose sum is σ = 61896337920. Its totient is φ = 5309875200.

The previous prime is 20271014021. The next prime is 20271014041. The reversal of 20271014040 is 4041017202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20271013998 and 20271014016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20271014041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2389887 + ... + 2398353.

It is an arithmetic number, because the mean of its divisors is an integer number (483565140).

Almost surely, 220271014040 is an apocalyptic number.

20271014040 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 20271014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30948168960).

20271014040 is an abundant number, since it is smaller than the sum of its proper divisors (41625323880).

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

20271014040 is a wasteful number, since it uses less digits than its factorization.

20271014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8833 (or 8829 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The spelling of 20271014040 in words is "twenty billion, two hundred seventy-one million, fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 281 284 355 426 562 568 710 843 852 1065 1124 1405 1420 1686 1704 2130 2248 2810 2840 3372 4215 4260 5620 6744 8430 8467 8520 11240 16860 16934 19951 25401 33720 33868 39902 42335 50802 59853 67736 79804 84670 99755 101604 119706 127005 159608 169340 199510 203208 239412 254010 299265 338680 399020 478824 508020 598530 601157 798040 1016040 1197060 1202314 1803471 2379227 2394120 2404628 3005785 3606942 4758454 4809256 6011570 7137681 7213884 9017355 9516908 11896135 12023140 14275362 14427768 18034710 19033816 23792270 24046280 28550724 35688405 36069420 47584540 57101448 71376810 72138840 95169080 142753620 168925117 285507240 337850234 506775351 675700468 844625585 1013550702 1351400936 1689251170 2027101404 2533876755 3378502340 4054202808 5067753510 6757004680 10135507020 20271014040