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424400132130 = 2351328335910711
BaseRepresentation
bin1100010110100000011…
…10000001100000100010
31111120110011201111210020
412023100032001200202
523423132413212010
6522544451414310
742443013413322
oct6132016014042
91446404644706
10424400132130
11153a948a0857
126a3028b4396
13310367c4150
14167809d9282
15b08dac7470
hex62d0381822

424400132130 has 128 divisors (see below), whose sum is σ = 1103956439040. Its totient is φ = 103798920960.

The previous prime is 424400132003. The next prime is 424400132141. The reversal of 424400132130 is 31231004424.

It is a super-2 number, since 2×4244001321302 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 424400132130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39617475 + ... + 39628185.

It is an arithmetic number, because the mean of its divisors is an integer number (8624659680).

Almost surely, 2424400132130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424400132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551978219520).

424400132130 is an abundant number, since it is smaller than the sum of its proper divisors (679556306910).

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

424400132130 is a wasteful number, since it uses less digits than its factorization.

424400132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 424400132130 its reverse (31231004424), we get a palindrome (455631136554).

The spelling of 424400132130 in words is "four hundred twenty-four billion, four hundred million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 283 359 390 566 718 849 1077 1415 1698 1795 2154 2830 3590 3679 4245 4667 5385 7358 8490 9334 10711 10770 11037 14001 18395 21422 22074 23335 28002 32133 36790 46670 53555 55185 64266 70005 101597 107110 110370 139243 140010 160665 203194 278486 304791 321330 417729 507985 609582 696215 835458 1015970 1320761 1392430 1523955 2088645 2641522 3031213 3047910 3845249 3962283 4177290 6062426 6603805 7690498 7924566 9093639 11535747 13207610 15156065 18187278 19226245 19811415 23071494 30312130 38452490 39405769 39622830 45468195 49988237 57678735 78811538 90936390 99976474 115357470 118217307 149964711 197028845 236434614 249941185 299929422 394057690 499882370 591086535 749823555 1088205467 1182173070 1499647110 2176410934 3264616401 5441027335 6529232802 10882054670 14146671071 16323082005 28293342142 32646164010 42440013213 70733355355 84880026426 141466710710 212200066065 424400132130