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141231253440000 = 293542320393137
BaseRepresentation
bin100000000111001011110110…
…101100010100011000000000
3200112001120112212210220101110
4200013023312230110120000
5122002413101340040000
61220212424145203320
741514423055612023
oct4007136654243000
9615046485726343
10141231253440000
1141000924748399
1213a0b691030540
1360a6085c75a69
1426c38b45011ba
15114db37d95850
hex8072f6b14600

141231253440000 has 800 divisors, whose sum is σ = 490999451880960. Its totient is φ = 35995058176000.

The previous prime is 141231253439987. The next prime is 141231253440019. The reversal of 141231253440000 is 44352132141.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 141231253440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45021118432 + ... + 45021121568.

Almost surely, 2141231253440000 is an apocalyptic number.

141231253440000 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 141231253440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245499725940480).

141231253440000 is an abundant number, since it is smaller than the sum of its proper divisors (349768198440960).

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

141231253440000 is an equidigital number, since it uses as much as digits as its factorization.

141231253440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 141231253440000 in words is "one hundred forty-one trillion, two hundred thirty-one billion, two hundred fifty-three million, four hundred forty thousand".