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1314444405435 = 35743714100399
BaseRepresentation
bin10011001000001010111…
…111011110101010111011
311122122210220001021110020
4103020022333132222323
5133013440231433220
62443503013221523
7163652105045520
oct23101277365273
94578726037406
101314444405435
114674a8665847
121928b89318a3
1396c4a7c46c5
1447895aa5147
15242d208e040
hex1320afdeabb

1314444405435 has 64 divisors (see below), whose sum is σ = 2494092902400. Its totient is φ = 578648165760.

The previous prime is 1314444405341. The next prime is 1314444405451. The reversal of 1314444405435 is 5345044444131.

It is not a de Polignac number, because 1314444405435 - 224 = 1314427628219 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1729635 + ... + 2370764.

It is an arithmetic number, because the mean of its divisors is an integer number (38970201600).

Almost surely, 21314444405435 is an apocalyptic number.

1314444405435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1314444405435 is a deficient number, since it is larger than the sum of its proper divisors (1179648496965).

1314444405435 is a wasteful number, since it uses less digits than its factorization.

1314444405435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100528.

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 1314444405435 its reverse (5345044444131), we get a palindrome (6659488849566).

The spelling of 1314444405435 in words is "one trillion, three hundred fourteen billion, four hundred forty-four million, four hundred five thousand, four hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 43 71 105 129 213 215 301 355 497 645 903 1065 1491 1505 2485 3053 4515 7455 9159 15265 21371 45795 64113 106855 320565 4100399 12301197 20501995 28702793 61505985 86108379 143513965 176317157 291128329 430541895 528951471 873384987 881585785 1234220099 1455641645 2037898303 2644757355 3702660297 4366924935 6113694909 6171100495 10189491515 12518518147 18513301485 30568474545 37555554441 62592590735 87629627029 187777772205 262888881087 438148135145 1314444405435