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42334033043324 = 221115119396734141
BaseRepresentation
bin10011010000000101010010…
…00000000101111101111100
312112220002112112212121202202
421220002221000011331330
521022100044424341244
6230011553012411032
711626350542422001
oct1150025100057574
9175802475777682
1042334033043324
1112541843009340
1248b8752016a78
131a8110b743499
14a64d99dcb8a8
154d63130d304e
hex2680a9005f7c

42334033043324 has 96 divisors (see below), whose sum is σ = 81863238116352. Its totient is φ = 18996042240000.

The previous prime is 42334033043321. The next prime is 42334033043327.

42334033043324 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42334033043321) and next prime (42334033043327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42334033043321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1239959294 + ... + 1239993434.

It is an arithmetic number, because the mean of its divisors is an integer number (852742063712).

Almost surely, 242334033043324 is an apocalyptic number.

42334033043324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42334033043324 is a deficient number, since it is larger than the sum of its proper divisors (39529205073028).

42334033043324 is a wasteful number, since it uses less digits than its factorization.

42334033043324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35467 (or 35465 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 38.

It can be divided in two parts, 4233403 and 3043324, that added together give a palindrome (7276727).

The spelling of 42334033043324 in words is "forty-two trillion, three hundred thirty-four billion, thirty-three million, forty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 151 193 302 386 604 772 967 1661 1934 2123 3322 3868 4246 6644 8492 10637 21274 29143 34141 42548 58286 68282 116572 136564 146017 186631 292034 320573 373262 375551 584068 641146 746524 751102 1282292 1502204 1606187 2052941 3212374 4105882 5155291 6424748 6589213 8211764 10310582 13178426 20621164 26356852 28181281 33014347 56362562 56708201 66028694 72481343 112725124 113416402 132057388 144962686 226832804 289925372 309994091 363157817 619988182 726315634 994971163 1239976364 1452631268 1989942326 3979884652 4985166397 6371768971 9970332794 10944682793 12743537942 19940665588 21889365586 25487075884 43778731172 54836830367 70089458681 109673660734 140178917362 219347321468 280357834724 962137114621 1924274229242 3848548458484 10583508260831 21167016521662 42334033043324