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421427242724124 = 2237131958631970369
BaseRepresentation
bin101111111010010010010110…
…1000110011110101100011100
32001021011001101010201012012210
41133310210231012132230130
5420214130443114132444
64052145000322000420
7154524053636650050
oct13764445506365434
92037131333635183
10421427242724124
11112309320a2885a
123b32350aaa6110
131511c5594b1c50
14760d28a257c60
1533ac452b527b9
hex17f492d19eb1c

421427242724124 has 96 divisors (see below), whose sum is σ = 1210259387796480. Its totient is φ = 111145022558208.

The previous prime is 421427242724087. The next prime is 421427242724197.

421427242724124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

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, 212897212 + ... + 214867580.

It is an arithmetic number, because the mean of its divisors is an integer number (12606868622880).

Almost surely, 2421427242724124 is an apocalyptic number.

It is an amenable number.

421427242724124 is an abundant number, since it is smaller than the sum of its proper divisors (788832145072356).

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

421427242724124 is a wasteful number, since it uses less digits than its factorization.

421427242724124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166259 (or 2166257 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 48.

The spelling of 421427242724124 in words is "four hundred twenty-one trillion, four hundred twenty-seven billion, two hundred forty-two million, seven hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 195863 391726 587589 783452 1175178 1371041 1970369 2350356 2546219 2742082 3940738 4113123 5092438 5484164 5911107 7638657 7881476 8226246 10184876 11822214 13792583 15277314 16452492 17823533 23644428 25614797 27585166 30554628 35647066 41377749 51229594 53470599 55170332 71294132 76844391 82755498 102459188 106941198 153688782 165510996 179303579 213882396 307377564 358607158 537910737 717214316 1075821474 2151642948 385922383447 771844766894 1157767150341 1543689533788 2315534300682 2701456684129 4631068601364 5016990984811 5402913368258 8104370052387 10033981969622 10805826736516 15050972954433 16208740104774 20067963939244 30101945908866 32417480209548 35118936893677 60203891817732 70237873787354 105356810681031 140475747574708 210713621362062 421427242724124