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141000742008000 = 26335372941107733
BaseRepresentation
bin100000000011110101001011…
…001000111111010011000000
3200111020112120010212212201000
4200003311023020333103000
5121440124004423224000
61215514502513212000
741461652555016540
oct4003651310772300
9614215503785630
10141000742008000
1140a22095a88796
1213992a7b261000
13608a40b636114
1426b66880c5320
151147b45e72000
hex803d4b23f4c0

141000742008000 has 3584 divisors, whose sum is σ = 633240463564800. Its totient is φ = 30033690624000.

The previous prime is 141000742007977. The next prime is 141000742008011. The reversal of 141000742008000 is 800247000141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 192361175634 + ... + 192361176366.

It is an arithmetic number, because the mean of its divisors is an integer number (176685397200).

Almost surely, 2141000742008000 is an apocalyptic number.

141000742008000 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 141000742008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316620231782400).

141000742008000 is an abundant number, since it is smaller than the sum of its proper divisors (492239721556800).

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

141000742008000 is a wasteful number, since it uses less digits than its factorization.

141000742008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 141000742008000 its reverse (800247000141), we get a palindrome (141800989008141).

The spelling of 141000742008000 in words is "one hundred forty-one trillion, seven hundred forty-two million, eight thousand".