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1337081163414 = 231721143619999
BaseRepresentation
bin10011011101010000001…
…111110110111010010110
311201211020111002201122220
4103131100033312322112
5133401320234212124
62502125133403210
7165413055236463
oct23352017667226
94654214081586
101337081163414
11476064506097
12197175939506
1399117542259
1448a0223a66a
1524ba954b879
hex137503f6e96

1337081163414 has 32 divisors (see below), whose sum is σ = 2831604480000. Its totient is φ = 419455926912.

The previous prime is 1337081163323. The next prime is 1337081163443. The reversal of 1337081163414 is 4143611807331.

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 15 ways as a sum of consecutive naturals, for example, 1846587 + ... + 2466585.

It is an arithmetic number, because the mean of its divisors is an integer number (88487640000).

Almost surely, 21337081163414 is an apocalyptic number.

1337081163414 is an abundant number, since it is smaller than the sum of its proper divisors (1494523316586).

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

1337081163414 is a wasteful number, since it uses less digits than its factorization.

1337081163414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641164.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1337081163414 in words is "one trillion, three hundred thirty-seven billion, eighty-one million, one hundred sixty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 34 51 102 21143 42286 63429 126858 359431 619999 718862 1078293 1239998 1859997 2156586 3719994 10539983 21079966 31619949 63239898 13108638857 26217277714 39325916571 78651833142 222846860569 445693721138 668540581707 1337081163414