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1332401241430 = 257219129348589
BaseRepresentation
bin10011011000111001010…
…011010111110101010110
311201101011100000001121001
4103120321103113311112
5133312224204211210
62500032514413514
7165156100454200
oct23307123276526
94641140001531
101332401241430
11474082846476
1219628a59129a
139884cac124c
14486ba897770
15249d376d03a
hex136394d7d56

1332401241430 has 96 divisors (see below), whose sum is σ = 2814121336320. Its totient is φ = 452871256320.

The previous prime is 1332401241419. The next prime is 1332401241467. The reversal of 1332401241430 is 341421042331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 27397576 + ... + 27446164.

It is an arithmetic number, because the mean of its divisors is an integer number (29313763920).

Almost surely, 21332401241430 is an apocalyptic number.

1332401241430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1332401241430 is an abundant number, since it is smaller than the sum of its proper divisors (1481720094890).

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

1332401241430 is a wasteful number, since it uses less digits than its factorization.

1332401241430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49094 (or 49087 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1332401241430 its reverse (341421042331), we get a palindrome (1673822283761).

The spelling of 1332401241430 in words is "one trillion, three hundred thirty-two billion, four hundred one million, two hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 191 245 293 382 490 586 955 1337 1465 1910 2051 2674 2930 4102 6685 9359 10255 13370 14357 18718 20510 28714 46795 48589 55963 71785 93590 97178 111926 143570 242945 279815 340123 391741 485890 559630 680246 783482 1700615 1958705 2380861 2742187 3401230 3917410 4761722 5484374 9280499 11904305 13710935 14236577 18560998 23808610 27421870 28473154 46402495 64963493 71182885 92804990 99656039 129926986 142365770 199312078 324817465 454744451 498280195 649634930 697592273 909488902 996560390 1395184546 2273722255 2719186207 3487961365 4547444510 5438372414 6975922730 13595931035 19034303449 27191862070 38068606898 95171517245 133240124143 190343034490 266480248286 666200620715 1332401241430