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23413322430 = 23357910310657
BaseRepresentation
bin10101110011100010…
…101111001010111110
32020102201022000101000
4111303202233022332
5340422302304210
614431140431130
71456126646151
oct256342571276
966381260330
1023413322430
119a25234753
1246550a84a6
1322918b6654
1411c175dc98
15920755ac0
hex5738af2be

23413322430 has 128 divisors (see below), whose sum is σ = 63845683200. Its totient is φ = 6104097792.

The previous prime is 23413322423. The next prime is 23413322431. The reversal of 23413322430 is 3422331432.

23413322430 is a `hidden beast` number, since 2 + 3 + 413 + 3 + 2 + 243 + 0 = 666.

It is a super-2 number, since 2×234133224302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23413322394 and 23413322403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23413322431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2191662 + ... + 2202318.

It is an arithmetic number, because the mean of its divisors is an integer number (498794400).

Almost surely, 223413322430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23413322430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31922841600).

23413322430 is an abundant number, since it is smaller than the sum of its proper divisors (40432360770).

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

23413322430 is a wasteful number, since it uses less digits than its factorization.

23413322430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10855 (or 10849 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23413322430 its reverse (3422331432), we get a palindrome (26835653862).

The spelling of 23413322430 in words is "twenty-three billion, four hundred thirteen million, three hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 103 135 158 206 237 270 309 395 474 515 618 711 790 927 1030 1185 1422 1545 1854 2133 2370 2781 3090 3555 4266 4635 5562 7110 8137 9270 10657 10665 13905 16274 21314 21330 24411 27810 31971 40685 48822 53285 63942 73233 81370 95913 106570 122055 146466 159855 191826 219699 244110 287739 319710 366165 439398 479565 575478 732330 841903 959130 1097671 1098495 1438695 1683806 2195342 2196990 2525709 2877390 3293013 4209515 5051418 5488355 6586026 7577127 8419030 9879039 10976710 12628545 15154254 16465065 19758078 22731381 25257090 29637117 32930130 37885635 45462762 49395195 59274234 75771270 86716009 98790390 113656905 148185585 173432018 227313810 260148027 296371170 433580045 520296054 780444081 867160090 1300740135 1560888162 2341332243 2601480270 3902220405 4682664486 7804440810 11706661215 23413322430