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141468750 = 23256503
BaseRepresentation
bin10000110111010…
…10010001001110
3100212012100122100
420123222101032
5242204000000
622012055530
73335315223
oct1033522116
9325170570
10141468750
1172945625
123b4645a6
1323402a27
1414b0794a
15c646a00
hex86ea44e

141468750 has 84 divisors (see below), whose sum is σ = 383901336. Its totient is φ = 37650000.

The previous prime is 141468727. The next prime is 141468751. The reversal of 141468750 is 57864141.

It is a happy number.

141468750 is a `hidden beast` number, since 141 + 468 + 7 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141468751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 280999 + ... + 281501.

It is an arithmetic number, because the mean of its divisors is an integer number (4570254).

Almost surely, 2141468750 is an apocalyptic number.

141468750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141468750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191950668).

141468750 is an abundant number, since it is smaller than the sum of its proper divisors (242432586).

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

141468750 is an frugal number, since it uses more digits than its factorization.

141468750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 141468750 is about 11894.0636453653. The cubic root of 141468750 is about 521.0589244967.

The spelling of 141468750 in words is "one hundred forty-one million, four hundred sixty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 503 625 750 1006 1125 1250 1509 1875 2250 2515 3018 3125 3750 4527 5030 5625 6250 7545 9054 9375 11250 12575 15090 15625 18750 22635 25150 28125 31250 37725 45270 46875 56250 62875 75450 93750 113175 125750 140625 188625 226350 281250 314375 377250 565875 628750 943125 1131750 1571875 1886250 2829375 3143750 4715625 5658750 7859375 9431250 14146875 15718750 23578125 28293750 47156250 70734375 141468750