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430140120124 = 2211133720324141
BaseRepresentation
bin1100100001001100101…
…10010101110000111100
31112010021012112010001011
412100212112111300330
524021411332320444
6525334215325004
743035162460231
oct6204626256074
91463235463034
10430140120124
1115646a97a790
126b445080764
133173ca53350
1416b67083788
15b2c799e734
hex6426595c3c

430140120124 has 48 divisors (see below), whose sum is σ = 908245257696. Its totient is φ = 175600569600.

The previous prime is 430140120097. The next prime is 430140120127. The reversal of 430140120124 is 421021041034.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 430140120095 and 430140120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430140120127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10140907 + ... + 10183234.

It is an arithmetic number, because the mean of its divisors is an integer number (18921776202).

Almost surely, 2430140120124 is an apocalyptic number.

430140120124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

430140120124 is an abundant number, since it is smaller than the sum of its proper divisors (478105137572).

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

430140120124 is a wasteful number, since it uses less digits than its factorization.

430140120124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20324206 (or 20324204 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 430140120124 its reverse (421021041034), we get a palindrome (851161161158).

The spelling of 430140120124 in words is "four hundred thirty billion, one hundred forty million, one hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 37 44 52 74 143 148 286 407 481 572 814 962 1628 1924 5291 10582 21164 20324141 40648282 81296564 223565551 264213833 447131102 528427666 751993217 894262204 1056855332 1503986434 2906352163 3007972868 5812704326 8271925387 9775911821 11625408652 16543850774 19551823642 33087701548 39103647284 107535030031 215070060062 430140120124