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141535116980838 = 232719261495110303
BaseRepresentation
bin100000001011100110110110…
…010111101111001001100110
3200120010121212122200010210200
4200023212312113233021212
5122022402404421341323
61221004200215331330
741545401066236010
oct4013466627571146
9616117778603720
10141535116980838
11411087847a5049
1213a5a554380b46
1360c89203585b9
1426d449c7d51b0
1511569be822443
hex80b9b65ef266

141535116980838 has 288 divisors, whose sum is σ = 376060522586112. Its totient is φ = 37670952528000.

The previous prime is 141535116980837. The next prime is 141535116980861. The reversal of 141535116980838 is 838089611535141.

It is a happy number.

141535116980838 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 3 + 511 + 6 + 9 + 80 + 8 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141535116980833) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13737267195 + ... + 13737277497.

It is an arithmetic number, because the mean of its divisors is an integer number (1305765703424).

Almost surely, 2141535116980838 is an apocalyptic number.

141535116980838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141535116980838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188030261293056).

141535116980838 is an abundant number, since it is smaller than the sum of its proper divisors (234525405605274).

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

141535116980838 is a wasteful number, since it uses less digits than its factorization.

141535116980838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15368 (or 15346 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 141535116980838 in words is "one hundred forty-one trillion, five hundred thirty-five billion, one hundred sixteen million, nine hundred eighty thousand, eight hundred thirty-eight".