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141398560900 = 225231212132
BaseRepresentation
bin1000001110110000000…
…0101101000010000100
3111111222022100010122001
42003230000231002010
54304041012422100
6144542501515044
713133662636222
oct2035400550204
9444868303561
10141398560900
1154a6a88a6a3
12234a2112a84
131044555871c
146bb5287b12
153a288ced6a
hex20ec02d084

141398560900 has 81 divisors (see below), whose sum is σ = 317313657423. Its totient is φ = 54689803200.

The previous prime is 141398560883. The next prime is 141398560903. The reversal of 141398560900 is 9065893141.

The square root of 141398560900 is 376030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 62027894916 + 79370665984 = 249054^2 + 281728^2 .

It is not an unprimeable number, because it can be changed into a prime (141398560903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 116568694 + ... + 116569906.

Almost surely, 2141398560900 is an apocalyptic number.

141398560900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141398560900 is the 376030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141398560900

141398560900 is an abundant number, since it is smaller than the sum of its proper divisors (175915096523).

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

141398560900 is an equidigital number, since it uses as much as digits as its factorization.

141398560900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 141398560900 in words is "one hundred forty-one billion, three hundred ninety-eight million, five hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 961 1213 1550 1922 2426 3100 3844 4805 4852 6065 9610 12130 19220 24025 24260 30325 37603 48050 60650 75206 96100 121300 150412 188015 376030 752060 940075 1165693 1471369 1880150 2331386 2942738 3760300 4662772 5828465 5885476 7356845 11656930 14713690 23313860 29142325 29427380 36784225 45612439 58284650 73568450 91224878 116569300 147136900 182449756 228062195 456124390 912248780 1140310975 1413985609 2280621950 2827971218 4561243900 5655942436 7069928045 14139856090 28279712180 35349640225 70699280450 141398560900