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421123233440344 = 236715726324237853
BaseRepresentation
bin101111111000000100110010…
…0101111000110001001011000
32001020001222200012121110001211
41133300021210233012021120
5420144140340230042334
64051353202003552504
7154463102206453411
oct13760114457061130
92036058605543054
10421123233440344
111122013a6687296
123b29460698b734
13150c999ab61096
1475dc68a866808
1533a45ad4d7a64
hex17f0264bc6258

421123233440344 has 128 divisors (see below), whose sum is σ = 809999401559040. Its totient is φ = 205203255409152.

The previous prime is 421123233440311. The next prime is 421123233440347. The reversal of 421123233440344 is 443044332321124.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 421123233440297 and 421123233440306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421123233440347) by changing a digit.

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, 53625773922 + ... + 53625781774.

It is an arithmetic number, because the mean of its divisors is an integer number (6328120324680).

Almost surely, 2421123233440344 is an apocalyptic number.

It is an amenable number.

421123233440344 is a deficient number, since it is larger than the sum of its proper divisors (388876168118696).

421123233440344 is a wasteful number, since it uses less digits than its factorization.

421123233440344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10769 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 421123233440344 its reverse (443044332321124), we get a palindrome (864167565761468).

The spelling of 421123233440344 in words is "four hundred twenty-one trillion, one hundred twenty-three billion, two hundred thirty-three million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 8 67 134 157 263 268 314 526 536 628 1052 1256 2104 2423 4846 7853 9692 10519 15706 17621 19384 21038 31412 35242 41291 42076 62824 70484 82582 84152 140968 162341 165164 324682 330328 380411 526151 637249 649364 760822 1052302 1232921 1274498 1298728 1521644 2065339 2104604 2465842 2548996 2766497 3043288 4130678 4209208 4931684 5097992 5532994 8261356 9863368 11065988 16522712 19027819 22131976 25487537 38055638 42695683 50975074 76111276 82605707 85391366 100048093 101950148 138377713 152222552 165211414 170782732 200096186 203900296 276755426 324258223 330422828 341565464 400192372 553510852 648516446 660845656 800384744 1107021704 1274863873 1297032892 2549727746 2594065784 2987367583 5004316397 5099455492 5974735166 6703222231 10008632794 10198910984 11949470332 13406444462 20017265588 21725300941 23898940664 26812888924 40034531176 43450601882 53625777848 86901203764 173802407528 200153628061 335289198599 400307256122 670578397198 785677674329 800614512244 1341156794396 1571355348658 1601229024488 2682313588792 3142710697316 6285421394632 52640404180043 105280808360086 210561616720172 421123233440344