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1381317928146 = 23213271101321503
BaseRepresentation
bin10100000110011100111…
…101101110010011010010
311220001102102101012202200
4110012130331232103102
5140112414342200041
62534322501024030
7201540226443162
oct24063475562322
94801372335680
101381317928146
114928a4a61192
121a38606b5016
13a03472a35a0
144abdb3905a2
1525de7e761b6
hex1419cf6e4d2

1381317928146 has 96 divisors (see below), whose sum is σ = 3238312476672. Its totient is φ = 423014866560.

The previous prime is 1381317928117. The next prime is 1381317928147. The reversal of 1381317928146 is 6418297131831.

1381317928146 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 317 + 9 + 281 + 46 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1381317928092 and 1381317928101.

It is not an unprimeable number, because it can be changed into a prime (1381317928147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64227631 + ... + 64249133.

It is an arithmetic number, because the mean of its divisors is an integer number (33732421632).

Almost surely, 21381317928146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381317928146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619156238336).

1381317928146 is an abundant number, since it is smaller than the sum of its proper divisors (1856994548526).

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

1381317928146 is a wasteful number, since it uses less digits than its factorization.

1381317928146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22808 (or 22805 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 1381317928146 in words is "one trillion, three hundred eighty-one billion, three hundred seventeen million, nine hundred twenty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 271 542 813 1013 1626 2026 2439 3039 3523 4878 6078 7046 9117 10569 13169 18234 21138 21503 26338 31707 39507 43006 63414 64509 79014 118521 129018 193527 237042 274523 279539 387054 549046 559078 823569 838617 1647138 1677234 2470707 2515851 3568799 4941414 5031702 5827313 7137598 10706397 11654626 17481939 21412794 21782539 32119191 34963878 43565078 52445817 64238382 65347617 75755069 104891634 130695234 151510138 196042851 227265207 283173007 392085702 454530414 566346014 681795621 849519021 1363591242 1699038042 2548557063 5097114126 5903068069 11806136138 17709204207 35418408414 53127612621 76739884897 106255225242 153479769794 230219654691 460439309382 690658964073 1381317928146