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20332112432440 = 23597128313613001
BaseRepresentation
bin1001001111101111100000…
…10101101100110100111000
32122222201201212121010022111
410213313300111230310320
510131110131240314230
6111124235444102104
74165642462100254
oct447676025546470
978881655533274
1020332112432440
1165298894580a6
1223445bb394934
13b46405029353
145041181ad264
15253d4183e92a
hex127df056cd38

20332112432440 has 128 divisors (see below), whose sum is σ = 46304308653120. Its totient is φ = 8034140160000.

The previous prime is 20332112432309. The next prime is 20332112432531. The reversal of 20332112432440 is 4423421123302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6775110940 + ... + 6775113940.

Almost surely, 220332112432440 is an apocalyptic number.

20332112432440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20332112432440 is an abundant number, since it is smaller than the sum of its proper divisors (25972196220680).

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

20332112432440 is a wasteful number, since it uses less digits than its factorization.

20332112432440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 20332112432440 its reverse (4423421123302), we get a palindrome (24755533555742).

The spelling of 20332112432440 in words is "twenty trillion, three hundred thirty-two billion, one hundred twelve million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1283 1361 1940 2566 2722 3001 3880 5132 5444 6002 6415 6805 10264 10888 12004 12830 13610 15005 24008 25660 27220 30010 51320 54440 60020 120040 124451 132017 248902 264034 291097 497804 528068 582194 622255 660085 995608 1056136 1164388 1244510 1320170 1455485 1746163 2328776 2489020 2640340 2910970 3492326 3850283 4084361 4978040 5280680 5821940 6984652 7700566 8168722 8730815 11643880 13969304 15401132 16337444 17461630 19251415 20421805 30802264 32674888 34923260 38502830 40843610 69846520 77005660 81687220 154011320 163374440 169377811 338755622 373477451 396183017 677511244 746954902 792366034 846889055 1355022488 1493909804 1584732068 1693778110 1867387255 1980915085 2987819608 3169464136 3387556220 3734774510 3961830170 5240235163 6775112440 7469549020 7923660340 10480470326 14939098040 15847320680 20960940652 26201175815 41921881304 52402351630 104804703260 209609406520 508302810811 1016605621622 2033211243244 2541514054055 4066422486488 5083028108110 10166056216220 20332112432440