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1338802414920 = 233253718895597
BaseRepresentation
bin10011011110110110110…
…101111010010101001000
311201222200102221100211200
4103132312311322111020
5133413331404234140
62503012022024200
7165503525522445
oct23366665722510
94658612840750
101338802414920
114768680738a3
12197576278060
139933001c779
1448b26a949cc
1524c5a6ec030
hex137b6d7a548

1338802414920 has 48 divisors (see below), whose sum is σ = 4351107849660. Its totient is φ = 357013977216.

The previous prime is 1338802414897. The next prime is 1338802414933. The reversal of 1338802414920 is 294142088331.

1338802414920 is a `hidden beast` number, since 1 + 3 + 388 + 0 + 241 + 4 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1260917884836 + 77884530084 = 1122906^2 + 279078^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 1859447439 + ... + 1859448158.

Almost surely, 21338802414920 is an apocalyptic number.

1338802414920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338802414920 is an abundant number, since it is smaller than the sum of its proper divisors (3012305434740).

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

1338802414920 is a wasteful number, since it uses less digits than its factorization.

1338802414920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718895614 (or 3718895607 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1338802414920 in words is "one trillion, three hundred thirty-eight billion, eight hundred two million, four hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3718895597 7437791194 11156686791 14875582388 18594477985 22313373582 29751164776 33470060373 37188955970 44626747164 55783433955 66940120746 74377911940 89253494328 111566867910 133880241492 148755823880 167350301865 223133735820 267760482984 334700603730 446267471640 669401207460 1338802414920