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33424133101404 = 223113857119324109
BaseRepresentation
bin1111001100110001010011…
…00101001001011101011100
311101100022112022012222102120
413212120221211021131130
513340110111033221104
6155030500151022540
710016546114463453
oct746305145113534
9141308468188376
1033424133101404
11a717105852431
1238b99a266aa50
131585b61339b36
14837a4560bb9a
153ce689949cd9
hex1e662994975c

33424133101404 has 96 divisors (see below), whose sum is σ = 78840924402240. Its totient is φ = 11020193415168.

The previous prime is 33424133101369. The next prime is 33424133101439. The reversal of 33424133101404 is 40410133142433.

It is an interprime number because it is at equal distance from previous prime (33424133101369) and next prime (33424133101439).

It is a super-2 number, since 2×334241331014042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 1386363702 + ... + 1386387810.

It is an arithmetic number, because the mean of its divisors is an integer number (821259629190).

Almost surely, 233424133101404 is an apocalyptic number.

It is an amenable number.

33424133101404 is an abundant number, since it is smaller than the sum of its proper divisors (45416791300836).

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

33424133101404 is a wasteful number, since it uses less digits than its factorization.

33424133101404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26279 (or 26277 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 33424133101404 its reverse (40410133142433), we get a palindrome (73834266243837).

The spelling of 33424133101404 in words is "thirty-three trillion, four hundred twenty-four billion, one hundred thirty-three million, one hundred one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 113 226 339 452 678 857 1193 1356 1714 2386 2571 3428 3579 4772 5142 7158 10284 14316 24109 48218 72327 96436 96841 134809 144654 193682 269618 289308 290523 387364 404427 539236 581046 808854 1022401 1162092 1617708 2044802 2724317 3067203 4089604 5448634 6134406 8172951 10897268 12268812 16345902 20661413 28762037 32691804 41322826 57524074 61984239 82645652 86286111 115048148 115531313 123968478 172572222 231062626 247936956 345144444 346593939 462125252 693187878 1386375756 2334739669 3250110181 4669479338 6500220362 7004219007 9338958676 9750330543 13000440724 14008438014 19500661086 24649065709 28016876028 39001322172 49298131418 73947197127 98596262836 147894394254 295788788508 2785344425117 5570688850234 8356033275351 11141377700468 16712066550702 33424133101404