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421226146952 = 231321929292
BaseRepresentation
bin1100010000100110000…
…10001110110010001000
31111021020222022100122122
412020103002032302020
523400132343200302
6521301510110412
742301243113242
oct6102302166210
91437228270578
10421226146952
111527061a6806
126977794b408
133094c063700
141655d263092
15ae551173a2
hex621308ec88

421226146952 has 108 divisors (see below), whose sum is σ = 903579750495. Its totient is φ = 183981597696.

The previous prime is 421226146951. The next prime is 421226146961. The reversal of 421226146952 is 259641622124.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 26045440996 + 395180705956 = 161386^2 + 628634^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=458926.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (421226146951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 453418424 + ... + 453419352.

Almost surely, 2421226146952 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 421226146952

421226146952 is an abundant number, since it is smaller than the sum of its proper divisors (482353603543).

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

421226146952 is an equidigital number, since it uses as much as digits as its factorization.

421226146952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 963 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The spelling of 421226146952 in words is "four hundred twenty-one billion, two hundred twenty-six million, one hundred forty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 169 247 338 361 494 676 722 929 988 1352 1444 1858 1976 2888 3211 3716 4693 6422 7432 9386 12077 12844 17651 18772 24154 25688 35302 37544 48308 61009 70604 96616 122018 141208 157001 229463 244036 314002 335369 458926 488072 628004 670738 863041 917852 1256008 1341476 1726082 1835704 2682952 2983019 3452164 4359797 5966038 6904328 8719594 11219533 11932076 16397779 17439188 22439066 23864152 32795558 34878376 44878132 56677361 65591116 89756264 113354722 131182232 145853929 213171127 226709444 291707858 311557801 426342254 453418888 583415716 623115602 852684508 1166831432 1246231204 1705369016 2492462408 2771224651 4050251413 5542449302 8100502826 11084898604 16201005652 22169797208 32402011304 52653268369 105306536738 210613073476 421226146952