Search a number
-
+
141045440 = 2653671201
BaseRepresentation
bin10000110100000…
…10111011000000
3100211101211222012
420122002323000
5242101423230
621555032052
73331603124
oct1032027300
9324354865
10141045440
1172686588
123b29b628
13232b5153
1414a37584
15c5b1395
hex8682ec0

141045440 has 56 divisors (see below), whose sum is σ = 337060032. Its totient is φ = 56217600.

The previous prime is 141045439. The next prime is 141045467. The reversal of 141045440 is 44540141.

It is a happy number.

It is a super-2 number, since 2×1410454402 = 39787632289587200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116840 + ... + 118040.

Almost surely, 2141045440 is an apocalyptic number.

141045440 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 141045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168530016).

141045440 is an abundant number, since it is smaller than the sum of its proper divisors (196014592).

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

141045440 is a wasteful number, since it uses less digits than its factorization.

141045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 141045440 is about 11876.2553020723. The cubic root of 141045440 is about 520.5386922440.

Adding to 141045440 its reverse (44540141), we get a palindrome (185585581).

The spelling of 141045440 in words is "one hundred forty-one million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 367 734 1201 1468 1835 2402 2936 3670 4804 5872 6005 7340 9608 11744 12010 14680 19216 23488 24020 29360 38432 48040 58720 76864 96080 117440 192160 384320 440767 881534 1763068 2203835 3526136 4407670 7052272 8815340 14104544 17630680 28209088 35261360 70522720 141045440