Search a number
-
+
141425356800 = 2123527135059
BaseRepresentation
bin1000001110110110011…
…0111011000000000000
3111112001011202111200210
42003231212323000000
54304114342404200
6144545300114120
713134436461330
oct2035546730000
9445034674623
10141425356800
1154a83a21872
12234ab095940
131044ac7b1a0
146bb8a610c0
153a2ae24650
hex20ed9bb000

141425356800 has 624 divisors, whose sum is σ = 575608436480. Its totient is φ = 29833297920.

The previous prime is 141425356799. The next prime is 141425356801. The reversal of 141425356800 is 8653524141.

It is an interprime number because it is at equal distance from previous prime (141425356799) and next prime (141425356801).

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×1414253568002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (141425356801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27952671 + ... + 27957729.

Almost surely, 2141425356800 is an apocalyptic number.

141425356800 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 141425356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287804218240).

141425356800 is an abundant number, since it is smaller than the sum of its proper divisors (434183079680).

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

141425356800 is a wasteful number, since it uses less digits than its factorization.

141425356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 141425356800 in words is "one hundred forty-one billion, four hundred twenty-five million, three hundred fifty-six thousand, eight hundred".