Search a number
-
+
1000135412024 = 237219134282413
BaseRepresentation
bin11101000110111001011…
…01110100100100111000
310112121112011020001212012
432203130231310210320
5112341234131141044
62043242244505052
7132154200510200
oct16433455644470
93477464201765
101000135412024
11356178403a61
121419bb3ab188
137340a35a7b8
143659a415400
151b0385b359e
hexe8dcb74938

1000135412024 has 48 divisors (see below), whose sum is σ = 2296229279400. Its totient is φ = 406070013888.

The previous prime is 1000135412021. The next prime is 1000135412033. The reversal of 1000135412024 is 4202145310001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000135412021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67133759 + ... + 67148654.

Almost surely, 21000135412024 is an apocalyptic number.

1000135412024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1000135412024 is an abundant number, since it is smaller than the sum of its proper divisors (1296093867376).

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

1000135412024 is a wasteful number, since it uses less digits than its factorization.

1000135412024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134282452 (or 134282441 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 1000135412024 in words is "one trillion, one hundred thirty-five million, four hundred twelve thousand, twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 3724 7448 134282413 268564826 537129652 939976891 1074259304 1879953782 2551365847 3759907564 5102731694 6579838237 7519815128 10205463388 13159676474 17859560929 20410926776 26319352948 35719121858 52638705896 71438243716 125016926503 142876487432 250033853006 500067706012 1000135412024