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20042001313040 = 2457218112823167
BaseRepresentation
bin1001000111010011001000…
…10111100110110100010000
32121221222220112100021112102
410203221210113212310100
510111332004314004130
6110343100204015532
74135662322213400
oct443514427466420
977858815307472
1020042001313040
11642784627a1a3
1222b83358315a8
13b24c4cb801a5
144d4076546800
1524b5123de645
hex123a645e6d10

20042001313040 has 120 divisors (see below), whose sum is σ = 54235383570432. Its totient is φ = 6867746538240.

The previous prime is 20042001312947. The next prime is 20042001313043. The reversal of 20042001313040 is 4031310024002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20042001313043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5687537 + ... + 8510703.

Almost surely, 220042001313040 is an apocalyptic number.

20042001313040 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 20042001313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27117691785216).

20042001313040 is an abundant number, since it is smaller than the sum of its proper divisors (34193382257392).

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

20042001313040 is a wasteful number, since it uses less digits than its factorization.

20042001313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825005 (or 2824992 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20042001313040 its reverse (4031310024002), we get a palindrome (24073311337042).

The spelling of 20042001313040 in words is "twenty trillion, forty-two billion, one million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1811 1960 3622 3920 7244 9055 12677 14488 18110 25354 28976 36220 50708 63385 72440 88739 101416 126770 144880 177478 202832 253540 354956 443695 507080 709912 887390 1014160 1419824 1774780 2823167 3549560 5646334 7099120 11292668 14115835 19762169 22585336 28231670 39524338 45170672 56463340 79048676 98810845 112926680 138335183 158097352 197621690 225853360 276670366 316194704 395243380 553340732 691675915 790486760 1106681464 1383351830 1580973520 2213362928 2766703660 5112755437 5533407320 10225510874 11066814640 20451021748 25563777185 35789288059 40902043496 51127554370 71578576118 81804086992 102255108740 143157152236 178946440295 204510217480 250525016413 286314304472 357892880590 409020434960 501050032826 572628608944 715785761180 1002100065652 1252625082065 1431571522360 2004200131304 2505250164130 2863143044720 4008400262608 5010500328260 10021000656520 20042001313040