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31404421434204 = 223271339892403161
BaseRepresentation
bin1110010001111111010010…
…11000100100101101011100
311010012020022010101200110100
413020333221120210231130
513104012223341343304
6150442554140341100
76420615560536050
oct710775130445534
9133166263350410
1031404421434204
11a0085a42082a5
123632479244790
13146a569072280
147a7da6c8dc60
15396d7b1a8439
hex1c8fe9624b5c

31404421434204 has 144 divisors (see below), whose sum is σ = 97727178144960. Its totient is φ = 8280404997120.

The previous prime is 31404421434163. The next prime is 31404421434223. The reversal of 31404421434204 is 40243412440413.

31404421434204 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 442 + 1 + 4 + 3 + 4 + 204 = 666.

It is a super-2 number, since 2×314044214342042 (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11866384 + ... + 14269544.

It is an arithmetic number, because the mean of its divisors is an integer number (678660959340).

Almost surely, 231404421434204 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 31404421434204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48863589072480).

31404421434204 is an abundant number, since it is smaller than the sum of its proper divisors (66322756710756).

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

31404421434204 is a wasteful number, since it uses less digits than its factorization.

31404421434204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407180 (or 2407175 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 31404421434204 its reverse (40243412440413), we get a palindrome (71647833874617).

The spelling of 31404421434204 in words is "thirty-one trillion, four hundred four billion, four hundred twenty-one million, four hundred thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 3989 7978 11967 15956 23934 27923 35901 47868 51857 55846 71802 83769 103714 111692 143604 155571 167538 207428 251307 311142 335076 362999 466713 502614 622284 725998 933426 1005228 1088997 1451996 1866852 2177994 2403161 3266991 4355988 4806322 6533982 7209483 9612644 13067964 14418966 16822127 21628449 28837932 31241093 33644254 43256898 50466381 62482186 67288508 86513796 93723279 100932762 124964372 151399143 187446558 201865524 218687651 281169837 302798286 374893116 437375302 562339674 605596572 656062953 874750604 1124679348 1312125906 1968188859 2624251812 3936377718 7872755436 9586209229 19172418458 28758627687 38344836916 57517255374 67103464603 86275883061 115034510748 124620719977 134206929206 172551766122 201310393809 249241439954 268413858412 345103532244 373862159931 402620787618 498482879908 603931181427 747724319862 805241575236 872345039839 1121586479793 1207862362854 1495448639724 1744690079678 2243172959586 2415724725708 2617035119517 3489380159356 4486345919172 5234070239034 7851105358551 10468140478068 15702210717102 31404421434204