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424132320430 = 257131734995399
BaseRepresentation
bin1100010110000000100…
…00011001110010101110
31111112202111210021012101
412023000100121302232
523422110333223210
6522502123325314
742433252145230
oct6130020316256
91445674707171
10424132320430
11153967701975
126a24908083a
1330cc31863a0
1416757204250
15b075325a3a
hex62c0419cae

424132320430 has 128 divisors (see below), whose sum is σ = 947116800000. Its totient is φ = 133162873344.

The previous prime is 424132320401. The next prime is 424132320461. The reversal of 424132320430 is 34023231424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78554871 + ... + 78560269.

It is an arithmetic number, because the mean of its divisors is an integer number (7399350000).

Almost surely, 2424132320430 is an apocalyptic number.

424132320430 is an abundant number, since it is smaller than the sum of its proper divisors (522984479570).

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

424132320430 is a wasteful number, since it uses less digits than its factorization.

424132320430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6098.

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 424132320430 its reverse (34023231424), we get a palindrome (458155551854).

The spelling of 424132320430 in words is "four hundred twenty-four billion, one hundred thirty-two million, three hundred twenty thousand, four hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 173 182 346 455 499 865 910 998 1211 1730 2249 2422 2495 3493 4498 4990 5399 6055 6487 6986 10798 11245 12110 12974 15743 17465 22490 26995 31486 32435 34930 37793 45409 53990 64870 70187 75586 78715 86327 90818 140374 157430 172654 188965 227045 350935 377930 431635 454090 491309 604289 701870 863270 934027 982618 1122251 1208578 1868054 2244502 2456545 2694101 3021445 4670135 4913090 5388202 5611255 6042890 6538189 7855757 9340270 11222510 12142351 13076378 13470505 15711514 18858707 24284702 26941010 32690945 35023313 37717414 39278785 60711755 65381890 70046626 78557570 84996457 94293535 121423510 169992914 175116565 188587070 245163191 350233130 424982285 466079473 490326382 849964570 932158946 1225815955 2330397365 2451631910 3262556311 4660794730 6059033149 6525112622 12118066298 16312781555 30295165745 32625563110 42413232043 60590331490 84826464086 212066160215 424132320430