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141149380 = 22529397613
BaseRepresentation
bin10000110100111…
…00010011000100
3100211121010112211
420122130103010
5242113240010
622001153204
73332515141
oct1032342304
9324533484
10141149380
1172747689
123b32b804
1323320558
1414a633c8
15c5d208a
hex869c4c4

141149380 has 48 divisors (see below), whose sum is σ = 307908720. Its totient is φ = 54286848.

The previous prime is 141149377. The next prime is 141149383. The reversal of 141149380 is 83941141.

It is an interprime number because it is at equal distance from previous prime (141149377) and next prime (141149383).

It can be written as a sum of positive squares in 8 ways, for example, as 15350724 + 125798656 = 3918^2 + 11216^2 .

It is not an unprimeable number, because it can be changed into a prime (141149383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229954 + ... + 230566.

It is an arithmetic number, because the mean of its divisors is an integer number (6414765).

Almost surely, 2141149380 is an apocalyptic number.

141149380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141149380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153954360).

141149380 is an abundant number, since it is smaller than the sum of its proper divisors (166759340).

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

141149380 is a wasteful number, since it uses less digits than its factorization.

141149380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 141149380 is about 11880.6304546518. The cubic root of 141149380 is about 520.6665269491. Note that the first 3 decimals are identical.

The spelling of 141149380 in words is "one hundred forty-one million, one hundred forty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 397 580 613 794 1226 1588 1985 2452 3065 3970 6130 7940 11513 12260 17777 23026 35554 46052 57565 71108 88885 115130 177770 230260 243361 355540 486722 973444 1216805 2433610 4867220 7057469 14114938 28229876 35287345 70574690 141149380