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141013542400000 = 2125515796977
BaseRepresentation
bin100000000100000001000110…
…000110100111000000000000
3200111021202121020002011110121
4200010001012012213000000
5121440331213323300000
61215524421014110024
741462615015401624
oct4004010606470000
9614252536064417
10141013542400000
1140a27564518756
121399545204b314
13608b69b55a07a
1426b7140131184
151148144ae5b1a
hex8040461a7000

141013542400000 has 312 divisors, whose sum is σ = 352742035721040. Its totient is φ = 56361615360000.

The previous prime is 141013542399967. The next prime is 141013542400013. The reversal of 141013542400000 is 4245310141.

It is a super-3 number, since 3×1410135424000003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20211196512 + ... + 20211203488.

Almost surely, 2141013542400000 is an apocalyptic number.

141013542400000 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 141013542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176371017860520).

141013542400000 is an abundant number, since it is smaller than the sum of its proper divisors (211728493321040).

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

141013542400000 is an frugal number, since it uses more digits than its factorization.

141013542400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8605 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 141013542400000 its reverse (4245310141), we get a palindrome (141017787710141).

The spelling of 141013542400000 in words is "one hundred forty-one trillion, thirteen billion, five hundred forty-two million, four hundred thousand".