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141081791400 = 2332521111176379
BaseRepresentation
bin1000001101100100100…
…0010100101110101000
3111111011020021120120100
42003121020110232220
54302413414311100
6144451224225400
713123065304044
oct2033110245650
9444136246510
10141081791400
1154917aa2020
122341400b260
13103c4a38a54
146b8518b024
153a0abac400
hex20d9214ba8

141081791400 has 288 divisors, whose sum is σ = 517416213600. Its totient is φ = 34165670400.

The previous prime is 141081791381. The next prime is 141081791407. The reversal of 141081791400 is 4197180141.

It is a happy number.

It is a super-2 number, since 2×1410817914002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141081791407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22113411 + ... + 22119789.

It is an arithmetic number, because the mean of its divisors is an integer number (1796584075).

Almost surely, 2141081791400 is an apocalyptic number.

141081791400 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 141081791400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258708106800).

141081791400 is an abundant number, since it is smaller than the sum of its proper divisors (376334422200).

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

141081791400 is a wasteful number, since it uses less digits than its factorization.

141081791400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7529 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 141081791400 in words is "one hundred forty-one billion, eighty-one million, seven hundred ninety-one thousand, four hundred".