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15311312040 = 2335535694231
BaseRepresentation
bin11100100001010000…
…00001010010101000
31110112001221020112010
432100220001102220
5222324143441130
611011154315520
71051300001463
oct162050012250
943461836463
1015311312040
1165479223a2
122b73888ba0
1315a01a796b
14a537002da
155e930a0b0
hex390a014a8

15311312040 has 128 divisors (see below), whose sum is σ = 46893945600. Its totient is φ = 3997992960.

The previous prime is 15311311999. The next prime is 15311312057. The reversal of 15311312040 is 4021311351.

It is a junction number, because it is equal to n+sod(n) for n = 15311311998 and 15311312016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3616725 + ... + 3620955.

It is an arithmetic number, because the mean of its divisors is an integer number (366358950).

Almost surely, 215311312040 is an apocalyptic number.

15311312040 is a gapful number since it is divisible by the number (10) 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 15311312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23446972800).

15311312040 is an abundant number, since it is smaller than the sum of its proper divisors (31582633560).

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

15311312040 is a wasteful number, since it uses less digits than its factorization.

15311312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 15311312040 its reverse (4021311351), we get a palindrome (19332623391).

The spelling of 15311312040 in words is "fifteen billion, three hundred eleven million, three hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 569 636 795 1060 1138 1272 1590 1707 2120 2276 2845 3180 3414 4231 4552 5690 6360 6828 8462 8535 11380 12693 13656 16924 17070 21155 22760 25386 30157 33848 34140 42310 50772 60314 63465 68280 84620 90471 101544 120628 126930 150785 169240 180942 224243 241256 253860 301570 361884 448486 452355 507720 603140 672729 723768 896972 904710 1121215 1206280 1345458 1793944 1809420 2242430 2407439 2690916 3363645 3618840 4484860 4814878 5381832 6727290 7222317 8969720 9629756 12037195 13454580 14444634 19259512 24074390 26909160 28889268 36111585 48148780 57778536 72223170 96297560 127594267 144446340 255188534 288892680 382782801 510377068 637971335 765565602 1020754136 1275942670 1531131204 1913914005 2551885340 3062262408 3827828010 5103770680 7655656020 15311312040