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1337814107744 = 25414721695221
BaseRepresentation
bin10011011101111011111…
…011110100011001100000
311201220010120021011021012
4103131323323310121200
5133404320402421434
62502325555120052
7165440165201432
oct23357373643140
94656116234235
101337814107744
11476400207004
1219733b2a3028
139920334781a
1448a7170c652
1524beda7a3ce
hex1377bef4660

1337814107744 has 48 divisors (see below), whose sum is σ = 2755466755776. Its totient is φ = 638707276800.

The previous prime is 1337814107743. The next prime is 1337814107761. The reversal of 1337814107744 is 4477014187331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1337814107692 and 1337814107701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337814107741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10785947 + ... + 10909274.

It is an arithmetic number, because the mean of its divisors is an integer number (57405557412).

Almost surely, 21337814107744 is an apocalyptic number.

It is an amenable number.

1337814107744 is an abundant number, since it is smaller than the sum of its proper divisors (1417652648032).

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

1337814107744 is a wasteful number, since it uses less digits than its factorization.

1337814107744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21695319 (or 21695311 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 50.

The spelling of 1337814107744 in words is "one trillion, three hundred thirty-seven billion, eight hundred fourteen million, one hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 41 47 82 94 164 188 328 376 656 752 1312 1504 1927 3854 7708 15416 30832 61664 21695221 43390442 86780884 173561768 347123536 694247072 889504061 1019675387 1779008122 2039350774 3558016244 4078701548 7116032488 8157403096 14232064976 16314806192 28464129952 32629612384 41806690867 83613381734 167226763468 334453526936 668907053872 1337814107744