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321044121042420 = 22355991999858727
BaseRepresentation
bin100100011111111001110100…
…0110010101011110111110100
31120002201111222210100200221010
41020333303220302223313310
5314034441324441324140
63054445344431552220
7124423446414110526
oct11077635062536764
91502644883320833
10321044121042420
11933270577a8676
123001060268b670
1310a1a43b758879
14593c892b29a16
15271b163627880
hex123fce8cabdf4

321044121042420 has 96 divisors (see below), whose sum is σ = 914258999808000. Its totient is φ = 84151561302144.

The previous prime is 321044121042409. The next prime is 321044121042433. The reversal of 321044121042420 is 24240121440123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27635097 + ... + 37493823.

It is an arithmetic number, because the mean of its divisors is an integer number (9523531248000).

Almost surely, 2321044121042420 is an apocalyptic number.

321044121042420 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 321044121042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457129499904000).

321044121042420 is an abundant number, since it is smaller than the sum of its proper divisors (593214878765580).

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

321044121042420 is a wasteful number, since it uses less digits than its factorization.

321044121042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9867997 (or 9867995 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 321044121042420 its reverse (24240121440123), we get a palindrome (345284242482543).

The spelling of 321044121042420 in words is "three hundred twenty-one trillion, forty-four billion, one hundred twenty-one million, forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 9199 18398 27597 36796 45995 55194 91990 110388 137985 183980 275970 542741 551940 1085482 1628223 2170964 2713705 3256446 5427410 6512892 8141115 9858727 10854820 16282230 19717454 29576181 32564460 39434908 49293635 59152362 98587270 118304724 147880905 197174540 295761810 581664893 591523620 1163329786 1744994679 2326659572 2908324465 3489989358 5816648930 6979978716 8724973395 11633297860 17449946790 34899893580 90690429673 181380859346 272071289019 362761718692 453452148365 544142578038 906904296730 1088285156076 1360356445095 1813808593460 2720712890190 5350735350707 5441425780380 10701470701414 16052206052121 21402941402828 26753676753535 32104412104242 53507353507070 64208824208484 80261030260605 107014707014140 160522060521210 321044121042420