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412230031440 = 243583911231823
BaseRepresentation
bin1011111111110101101…
…00110001100001010000
31110102001000112100011020
411333322310301201100
523223221342001230
6513213104115440
741532305311233
oct5777264614120
91412030470136
10412230031440
1114990a118aa7
1267a87005b80
132cb47343536
1415d4857d41a
15aaca456810
hex5ffad31850

412230031440 has 160 divisors (see below), whose sum is σ = 1281277992960. Its totient is φ = 109639039488.

The previous prime is 412230031429. The next prime is 412230031441. The reversal of 412230031440 is 44130032214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 412230031440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412230031441) 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, 226126369 + ... + 226128191.

It is an arithmetic number, because the mean of its divisors is an integer number (8007987456).

Almost surely, 2412230031440 is an apocalyptic number.

412230031440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412230031440 is an abundant number, since it is smaller than the sum of its proper divisors (869047961520).

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

412230031440 is a wasteful number, since it uses less digits than its factorization.

412230031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 412230031440 its reverse (44130032214), we get a palindrome (456360063654).

The spelling of 412230031440 in words is "four hundred twelve billion, two hundred thirty million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 839 1123 1678 1823 2246 2517 3356 3369 3646 4195 4492 5034 5469 5615 6712 6738 7292 8390 8984 9115 10068 10938 11230 12585 13424 13476 14584 16780 16845 17968 18230 20136 21876 22460 25170 26952 27345 29168 33560 33690 36460 40272 43752 44920 50340 53904 54690 67120 67380 72920 87504 89840 100680 109380 134760 145840 201360 218760 269520 437520 942197 1529497 1884394 2047229 2826591 3058994 3768788 4094458 4588491 4710985 5653182 6117988 6141687 7537576 7647485 8188916 9176982 9421970 10236145 11306364 12235976 12283374 14132955 15075152 15294970 16377832 18353964 18843940 20472290 22612728 22942455 24471952 24566748 28265910 30589940 30708435 32755664 36707928 37687880 40944580 45225456 45884910 49133496 56531820 61179880 61416870 73415856 75375760 81889160 91769820 98266992 113063640 122359760 122833740 163778320 183539640 226127280 245667480 367079280 491334960 1717625131 3435250262 5152875393 6870500524 8588125655 10305750786 13741001048 17176251310 20611501572 25764376965 27482002096 34352502620 41223003144 51528753930 68705005240 82446006288 103057507860 137410010480 206115015720 412230031440