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141005298000 = 24353731372927
BaseRepresentation
bin1000001101010010010…
…0100001100101010000
3111110221220100022100110
42003110210201211100
54302234324014000
6144435452521320
713121146154160
oct2032444414520
9443856308313
10141005298000
11548888a6436
12233b2480240
13103b1c35798
146b78d585a0
153a040ec850
hex20d4921950

141005298000 has 640 divisors, whose sum is σ = 550986448896. Its totient is φ = 30336768000.

The previous prime is 141005297989. The next prime is 141005298019. The reversal of 141005298000 is 892500141.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 48172537 + ... + 48175463.

Almost surely, 2141005298000 is an apocalyptic number.

141005298000 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 141005298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275493224448).

141005298000 is an abundant number, since it is smaller than the sum of its proper divisors (409981150896).

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

141005298000 is a wasteful number, since it uses less digits than its factorization.

141005298000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 141005298000 its reverse (892500141), we get a palindrome (141897798141).

The spelling of 141005298000 in words is "one hundred forty-one billion, five million, two hundred ninety-eight thousand".