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431430244140413 = 73671999622913487
BaseRepresentation
bin110001000011000100010111…
…0011100101000010101111101
32002120120022212111122012011102
41202012020232130220111331
5423022023114444443123
64125324152405502445
7156605543432046230
oct14206105634502575
92076508774565142
10431430244140413
111155155a24aa301
124047a0a3a11a25
131569690b3c952b
147877499c3b417
1534d2756319028
hex188622e72857d

431430244140413 has 32 divisors (see below), whose sum is σ = 494770053120000. Its totient is φ = 368518741107264.

The previous prime is 431430244140407. The next prime is 431430244140431. The reversal of 431430244140413 is 314041442034134.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 431430244140413 - 26 = 431430244140349 is a prime.

It is a super-2 number, since 2×4314302441404132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431430244140443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31988592956 + ... + 31988606442.

It is an arithmetic number, because the mean of its divisors is an integer number (15461564160000).

Almost surely, 2431430244140413 is an apocalyptic number.

It is an amenable number.

431430244140413 is a deficient number, since it is larger than the sum of its proper divisors (63339808979587).

431430244140413 is a wasteful number, since it uses less digits than its factorization.

431430244140413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22089.

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 431430244140413 its reverse (314041442034134), we get a palindrome (745471686174547).

The spelling of 431430244140413 in words is "four hundred thirty-one trillion, four hundred thirty billion, two hundred forty-four million, one hundred forty thousand, four hundred thirteen".

Divisors: 1 7 367 1999 2569 6229 13487 13993 43603 94409 733633 2286043 4949729 5135431 12451771 16002301 26960513 34648103 84010523 87162397 188723591 588073661 4569799957 9894508271 30831861941 31988599699 69261557897 167937035477 215823033587 1175559248339 61632892020059 431430244140413