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141431734752 = 25371127323827
BaseRepresentation
bin1000001110110111111…
…1010000000111100000
3111112001121202112121020
42003231333100013200
54304123011003002
6144550044525440
713134544624050
oct2035577200740
9445047675536
10141431734752
1154a87588700
12234b1250880
131044c3a2219
146bb9841560
153a2b7842bc
hex20edfd01e0

141431734752 has 288 divisors, whose sum is σ = 472782594816. Its totient is φ = 36230768640.

The previous prime is 141431734739. The next prime is 141431734771. The reversal of 141431734752 is 257437134141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5923863 + ... + 5947689.

It is an arithmetic number, because the mean of its divisors is an integer number (1641606232).

Almost surely, 2141431734752 is an apocalyptic number.

141431734752 is a gapful number since it is divisible by the number (12) 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 141431734752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236391297408).

141431734752 is an abundant number, since it is smaller than the sum of its proper divisors (331350860064).

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

141431734752 is a wasteful number, since it uses less digits than its factorization.

141431734752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23942 (or 23923 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

Adding to 141431734752 its reverse (257437134141), we get a palindrome (398868868893).

The spelling of 141431734752 in words is "one hundred forty-one billion, four hundred thirty-one million, seven hundred thirty-four thousand, seven hundred fifty-two".