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141212998080 = 26335721130323
BaseRepresentation
bin1000001110000011110…
…0110101100111000000
3111111111101011120022000
42003200330311213000
54303201011414310
6144512232344000
713126250451600
oct2034074654700
9444441146260
10141212998080
11549850685a0
122344bb45000
1310415c8783b
146b98782c00
153a174784c0
hex20e0f359c0

141212998080 has 672 divisors, whose sum is σ = 632204455680. Its totient is φ = 29341992960.

The previous prime is 141212998021. The next prime is 141212998103. The reversal of 141212998080 is 80899212141.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1412129980802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4641799 + ... + 4672121.

It is an arithmetic number, because the mean of its divisors is an integer number (940780440).

Almost surely, 2141212998080 is an apocalyptic number.

141212998080 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 141212998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316102227840).

141212998080 is an abundant number, since it is smaller than the sum of its proper divisors (490991457600).

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

141212998080 is a wasteful number, since it uses less digits than its factorization.

141212998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30374 (or 30351 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 141212998080 in words is "one hundred forty-one billion, two hundred twelve million, nine hundred ninety-eight thousand, eighty".