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243131442112 = 26131743399761
BaseRepresentation
bin1110001001101111000…
…0110110001111000000
3212020120020200222000101
43202123300312033000
512440413122121422
6303405410332144
723365011105436
oct3423360661700
9766506628011
10243131442112
11941253a7029
123b15428a054
1319c09087c60
14baa650cd56
1564ced15c27
hex389bc363c0

243131442112 has 112 divisors (see below), whose sum is σ = 562935254112. Its totient is φ = 103157268480.

The previous prime is 243131442107. The next prime is 243131442121. The reversal of 243131442112 is 211244131342.

It is a happy number.

It is a super-2 number, since 2×2431314421122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408312 + ... + 808072.

It is an arithmetic number, because the mean of its divisors is an integer number (5026207626).

Almost surely, 2243131442112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243131442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281467627056).

243131442112 is an abundant number, since it is smaller than the sum of its proper divisors (319803812000).

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

243131442112 is a wasteful number, since it uses less digits than its factorization.

243131442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399846 (or 399836 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 243131442112 its reverse (211244131342), we get a palindrome (454375573454).

The spelling of 243131442112 in words is "two hundred forty-three billion, one hundred thirty-one million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 43 52 64 68 86 104 136 172 208 221 272 344 416 442 544 559 688 731 832 884 1088 1118 1376 1462 1768 2236 2752 2924 3536 4472 5848 7072 8944 9503 11696 14144 17888 19006 23392 35776 38012 46784 76024 152048 304096 399761 608192 799522 1599044 3198088 5196893 6396176 6795937 10393786 12792352 13591874 17189723 20787572 25584704 27183748 34379446 41575144 54367496 68758892 83150288 88347181 108734992 137517784 166300576 176694362 217469984 223466399 275035568 292225291 332601152 353388724 434939968 446932798 550071136 584450582 706777448 893865596 1100142272 1168901164 1413554896 1787731192 2337802328 2827109792 3575462384 3798928783 4675604656 5654219584 7150924768 7597857566 9351209312 14301849536 15195715132 18702418624 30391430264 60782860528 121565721056 243131442112