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321040244040 = 233523822114149
BaseRepresentation
bin1001010101111110111…
…11010101110101001000
31010200122211212011112220
410222333133111311020
520224442300302130
6403252302334040
732123451022605
oct4527737256510
91120584764486
10321040244040
1111417493703a
125227788a320
1324373b94359
141177764d6ac
15853e90a410
hex4abf7d5d48

321040244040 has 128 divisors (see below), whose sum is σ = 1005188832000. Its totient is φ = 81872778240.

The previous prime is 321040244033. The next prime is 321040244051. The reversal of 321040244040 is 40442040123.

It is a happy number.

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 321040244040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22682886 + ... + 22697034.

It is an arithmetic number, because the mean of its divisors is an integer number (7853037750).

Almost surely, 2321040244040 is an apocalyptic number.

321040244040 is a gapful number since it is divisible by the number (30) 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 321040244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502594416000).

321040244040 is an abundant number, since it is smaller than the sum of its proper divisors (684148587960).

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

321040244040 is a wasteful number, since it uses less digits than its factorization.

321040244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22407 (or 22403 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 321040244040 its reverse (40442040123), we get a palindrome (361482284163).

The spelling of 321040244040 in words is "three hundred twenty-one billion, forty million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 8221 14149 16442 24663 28298 32884 41105 42447 49326 56596 65768 70745 82210 84894 98652 113192 123315 141490 164420 169788 189083 197304 212235 246630 282980 325427 328840 339576 378166 424470 493260 565960 567249 650854 756332 848940 945415 976281 986520 1134498 1301708 1512664 1627135 1697880 1890830 1952562 2268996 2603416 2836245 3254270 3781660 3905124 4537992 4881405 5672490 6508540 7563320 7810248 9762810 11344980 13017080 19525620 22689960 39051240 116318929 232637858 348956787 465275716 581594645 697913574 930551432 1163189290 1395827148 1744783935 2326378580 2675335367 2791654296 3489567870 4652757160 5350670734 6979135740 8026006101 10701341468 13376676835 13958271480 16052012202 21402682936 26753353670 32104024404 40130030505 53506707340 64208048808 80260061010 107013414680 160520122020 321040244040