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1348400430440 = 235719924199577
BaseRepresentation
bin10011100111110010111…
…011011011110101101000
311202220110100022001220222
4103213302323123311220
5134043011002233230
62511240244505212
7166263422356130
oct23476273336550
94686410261828
101348400430440
1147a942987a28
121993b46ab208
139a1cc6522ab
1449397697ac0
152511d1536e5
hex139f2edbd68

1348400430440 has 64 divisors (see below), whose sum is σ = 3484739232000. Its totient is φ = 459985540608.

The previous prime is 1348400430439. The next prime is 1348400430473. The reversal of 1348400430440 is 440340048431.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1348400430440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12044069 + ... + 12155508.

It is an arithmetic number, because the mean of its divisors is an integer number (54449050500).

Almost surely, 21348400430440 is an apocalyptic number.

1348400430440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348400430440 is an abundant number, since it is smaller than the sum of its proper divisors (2136338801560).

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

1348400430440 is a wasteful number, since it uses less digits than its factorization.

1348400430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24199794 (or 24199790 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 1348400430440 its reverse (440340048431), we get a palindrome (1788740478871).

The spelling of 1348400430440 in words is "one trillion, three hundred forty-eight billion, four hundred million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 199 280 398 796 995 1393 1592 1990 2786 3980 5572 6965 7960 11144 13930 27860 55720 24199577 48399154 96798308 120997885 169397039 193596616 241995770 338794078 483991540 677588156 846985195 967983080 1355176312 1693970390 3387940780 4815715823 6775881560 9631431646 19262863292 24078579115 33710010761 38525726584 48157158230 67420021522 96314316460 134840043044 168550053805 192628632920 269680086088 337100107610 674200215220 1348400430440