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31442404230312 = 23329433443235513
BaseRepresentation
bin1110010011000110000010…
…10101011100010010101000
311010022212100012201122102120
413021203001111130102220
513110123020440332222
6150512235135431240
76423432042142665
oct711430125342250
9133285305648376
1031442404230312
11a022715539189
1236398b9685520
13147101023595a
147a9b6b5a4a6c
15397d50a3015c
hex1c98c155c4a8

31442404230312 has 128 divisors (see below), whose sum is σ = 81688690339200. Its totient is φ = 10073191145472.

The previous prime is 31442404230311. The next prime is 31442404230331. The reversal of 31442404230312 is 21303240424413.

It is not an unprimeable number, because it can be changed into a prime (31442404230311) 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, 133388268 + ... + 133623780.

It is an arithmetic number, because the mean of its divisors is an integer number (638192893275).

Almost surely, 231442404230312 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 31442404230312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40844345169600).

31442404230312 is an abundant number, since it is smaller than the sum of its proper divisors (50246286108888).

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

31442404230312 is a wasteful number, since it uses less digits than its factorization.

31442404230312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236427 (or 236423 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 31442404230312 its reverse (21303240424413), we get a palindrome (52745644654725).

The spelling of 31442404230312 in words is "thirty-one trillion, four hundred forty-two billion, four hundred four million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 433 443 696 866 886 1299 1329 1732 1772 2598 2658 3464 3544 5196 5316 10392 10632 12557 12847 25114 25694 37671 38541 50228 51388 75342 77082 100456 102776 150684 154164 191819 235513 301368 308328 383638 471026 575457 706539 767276 942052 1150914 1413078 1534552 1884104 2301828 2826156 4603656 5562751 5652312 6829877 11125502 13659754 16688253 20489631 22251004 27319508 33376506 40979262 44502008 54639016 66753012 81958524 101977129 104332259 133506024 163917048 203954258 208664518 305931387 312996777 407908516 417329036 611862774 625993554 815817032 834658072 1223725548 1251987108 2447451096 2503974216 2957336741 3025635511 5914673482 6051271022 8872010223 9076906533 11829346964 12102542044 17744020446 18153813066 23658693928 24205084088 35488040892 36307626132 45175868147 70976081784 72615252264 90351736294 135527604441 180703472588 271055208882 361406945176 542110417764 1084220835528 1310100176263 2620200352526 3930300528789 5240400705052 7860601057578 10480801410104 15721202115156 31442404230312