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20334001440 = 253561968437
BaseRepresentation
bin10010111100000000…
…000011110100100000
31221111010000022002110
4102330000003310200
5313121001021230
613201420115320
71316616106014
oct227400036440
957433008073
1020334001440
118695017275
123b35995b40
131bc094bb1c
14dac7ca544
157e02444b0
hex4bc003d20

20334001440 has 96 divisors (see below), whose sum is σ = 64156518720. Its totient is φ = 5413561344.

The previous prime is 20334001409. The next prime is 20334001451. The reversal of 20334001440 is 4410043302.

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

It is a super-2 number, since 2×203340014402 (a number of 21 digits) contains 22 as substring.

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, 262902 + ... + 331338.

It is an arithmetic number, because the mean of its divisors is an integer number (668297070).

Almost surely, 220334001440 is an apocalyptic number.

20334001440 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 20334001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32078259360).

20334001440 is an abundant number, since it is smaller than the sum of its proper divisors (43822517280).

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

20334001440 is a wasteful number, since it uses less digits than its factorization.

20334001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69074 (or 69066 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20334001440 its reverse (4410043302), we get a palindrome (24744044742).

The spelling of 20334001440 in words is "twenty billion, three hundred thirty-four million, one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 619 1238 1857 2476 3095 3714 4952 6190 7428 9285 9904 12380 14856 18570 19808 24760 29712 37140 49520 59424 68437 74280 99040 136874 148560 205311 273748 297120 342185 410622 547496 684370 821244 1026555 1094992 1368740 1642488 2053110 2189984 2737480 3284976 4106220 5474960 6569952 8212440 10949920 16424880 32849760 42362503 84725006 127087509 169450012 211812515 254175018 338900024 423625030 508350036 635437545 677800048 847250060 1016700072 1270875090 1355600096 1694500120 2033400144 2541750180 3389000240 4066800288 5083500360 6778000480 10167000720 20334001440