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141012400 = 24522271553
BaseRepresentation
bin10000110011110…
…10110110110000
3100211100011122111
420121322312300
5242044344100
621554215104
73331404604
oct1031726660
9324304574
10141012400
1172663781
123b284494
13232a30b9
1414a29504
15c5a66ba
hex867adb0

141012400 has 60 divisors (see below), whose sum is σ = 340493832. Its totient is φ = 56120320.

The previous prime is 141012373. The next prime is 141012481. The reversal of 141012400 is 4210141.

141012400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90024 + ... + 91576.

Almost surely, 2141012400 is an apocalyptic number.

141012400 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 141012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170246916).

141012400 is an abundant number, since it is smaller than the sum of its proper divisors (199481432).

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

141012400 is a wasteful number, since it uses less digits than its factorization.

141012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 141012400 is about 11874.8642097499. The cubic root of 141012400 is about 520.4980435436.

Adding to 141012400 its reverse (4210141), we get a palindrome (145222541).

The spelling of 141012400 in words is "one hundred forty-one million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 227 400 454 908 1135 1553 1816 2270 3106 3632 4540 5675 6212 7765 9080 11350 12424 15530 18160 22700 24848 31060 38825 45400 62120 77650 90800 124240 155300 310600 352531 621200 705062 1410124 1762655 2820248 3525310 5640496 7050620 8813275 14101240 17626550 28202480 35253100 70506200 141012400