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42443203304304 = 24331112916918397
BaseRepresentation
bin10011010011010000101000…
…00011100101101101110000
312120021112022210222111012000
421221220110003211231300
521030342140021214204
6230134045522134000
711640264100345155
oct1151502403455560
9176245283874160
1042443203304304
1112584074856220
12491593aab1300
131a8b4b907724a
14a6a394d0422c
154d90a242c039
hex269a140e5b70

42443203304304 has 160 divisors (see below), whose sum is σ = 133005924814080. Its totient is φ = 12851612409600.

The previous prime is 42443203304267. The next prime is 42443203304323. The reversal of 42443203304304 is 40340330234424.

42443203304304 is a `hidden beast` number, since 4 + 2 + 4 + 43 + 2 + 0 + 3 + 304 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2675634 + ... + 9594030.

It is an arithmetic number, because the mean of its divisors is an integer number (831287030088).

Almost surely, 242443203304304 is an apocalyptic number.

42443203304304 is a gapful number since it is divisible by the number (44) 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 42443203304304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66502962407040).

42443203304304 is an abundant number, since it is smaller than the sum of its proper divisors (90562721509776).

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

42443203304304 is a wasteful number, since it uses less digits than its factorization.

42443203304304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6919716 (or 6919704 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 42443203304304 its reverse (40340330234424), we get a palindrome (82783533538728).

The spelling of 42443203304304 in words is "forty-two trillion, four hundred forty-three billion, two hundred three million, three hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1291 1584 2376 2582 3873 4752 5164 7746 10328 11619 14201 15492 20656 23238 28402 30984 34857 42603 46476 56804 61968 69714 85206 92952 113608 127809 139428 170412 185904 227216 255618 278856 340824 383427 511236 557712 681648 766854 1022472 1533708 2044944 3067416 6134832 6918397 13836794 20755191 27673588 41510382 55347176 62265573 76102367 83020764 110694352 124531146 152204734 166041528 186796719 228307101 249062292 304409468 332083056 373593438 456614202 498124584 608818936 684921303 747186876 913228404 996249168 1217637872 1369842606 1494373752 1826456808 2054763909 2739685212 2988747504 3652913616 4109527818 5479370424 8219055636 8931650527 10958740848 16438111272 17863301054 26794951581 32876222544 35726602108 53589903162 71453204216 80384854743 98248155797 107179806324 142906408432 160769709486 196496311594 214359612648 241154564229 294744467391 321539418972 392992623188 428719225296 482309128458 589488934782 643078837944 785985246376 884233402173 964618256916 1178977869564 1286157675888 1571970492752 1768466804346 1929236513832 2357955739128 2652700206519 3536933608692 3858473027664 4715911478256 5305400413038 7073867217384 10610800826076 14147734434768 21221601652152 42443203304304