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1342104041400 = 233523760455137
BaseRepresentation
bin10011100001111011101…
…000100111011110111000
311202022012112112100220220
4103201323220213132320
5133442112113311100
62504315403220040
7165651406060563
oct23417350473670
94668175470826
101342104041400
11478201819721
12198137b17620
13997380511c5
1448d5b3754da
1524da04c1aa0
hex1387ba277b8

1342104041400 has 96 divisors (see below), whose sum is σ = 4272969153840. Its totient is φ = 348221583360.

The previous prime is 1342104041393. The next prime is 1342104041429. The reversal of 1342104041400 is 41404012431.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 30205369 + ... + 30249768.

Almost surely, 21342104041400 is an apocalyptic number.

1342104041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1342104041400 is an abundant number, since it is smaller than the sum of its proper divisors (2930865112440).

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

1342104041400 is a wasteful number, since it uses less digits than its factorization.

1342104041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60455193 (or 60455184 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1342104041400 its reverse (41404012431), we get a palindrome (1383508053831).

The spelling of 1342104041400 in words is "one trillion, three hundred forty-two billion, one hundred four million, forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 60455137 120910274 181365411 241820548 302275685 362730822 483641096 604551370 725461644 906827055 1209102740 1450923288 1511378425 1813654110 2236840069 2418205480 3022756850 3627308220 4473680138 4534135275 6045513700 6710520207 7254616440 8947360276 9068270550 11184200345 12091027400 13421040414 17894720552 18136541100 22368400690 26842080828 33552601035 36273082200 44736801380 53684161656 55921001725 67105202070 89473602760 111842003450 134210404140 167763005175 223684006900 268420808280 335526010350 447368013800 671052020700 1342104041400