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421643346124 = 2271113172364379
BaseRepresentation
bin1100010001010111110…
…01101110000011001100
31111022100001100021022211
412020223321232003030
523402011144033444
6521411132120204
742314500210330
oct6105371560314
91438301307284
10421643346124
111528aa749710
1269873606064
13309b7617620
141659c8237c0
15ae7ba76c34
hex622be6e0cc

421643346124 has 144 divisors (see below), whose sum is σ = 1052422721280. Its totient is φ = 142719575040.

The previous prime is 421643346071. The next prime is 421643346127.

421643346124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4216433461242 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (421643346127) 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 47 ways as a sum of consecutive naturals, for example, 974967 + ... + 1339345.

It is an arithmetic number, because the mean of its divisors is an integer number (7308491120).

Almost surely, 2421643346124 is an apocalyptic number.

421643346124 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 421643346124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526211360640).

421643346124 is an abundant number, since it is smaller than the sum of its proper divisors (630779375156).

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

421643346124 is a wasteful number, since it uses less digits than its factorization.

421643346124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364448 (or 364429 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

It can be divided in two parts, 421643 and 346124, that added together give a palindrome (767767).

The spelling of 421643346124 in words is "four hundred twenty-one billion, six hundred forty-three million, three hundred forty-six thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 182 187 221 238 286 289 308 364 374 442 476 572 578 748 884 1001 1156 1309 1547 2002 2023 2431 2618 3094 3179 3757 4004 4046 4862 5236 6188 6358 7514 8092 9724 12716 15028 17017 22253 26299 34034 41327 44506 52598 68068 82654 89012 105196 165308 289289 364379 578578 728758 1157156 1457516 2550653 4008169 4736927 5101306 6194443 8016338 9473854 10202612 12388886 16032676 18947708 24777772 28057183 33158489 43361101 52106197 56114366 66316978 68138873 80527759 86722202 104212394 105305531 112228732 132633956 136277746 161055518 173444404 208424788 210611062 272555492 322111036 364743379 421222124 476972111 563694313 729486758 737138717 885805349 953944222 1127388626 1158360841 1368971903 1458973516 1474277434 1771610698 1907888444 2254777252 2316721682 2737943806 2948554868 3543221396 4633443364 5475887612 6200637443 8108525887 9582803321 12401274886 15058690933 16217051774 19165606642 24802549772 30117381866 32434103548 38331213284 60234763732 105410836531 210821673062 421643346124