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141426617492160 = 26365721113312791
BaseRepresentation
bin100000001010000001110011…
…010011000010001011000000
3200112202020211010202001000000
4200022001303103002023000
5122014113203034222120
61220442254031000000
741534510264633100
oct4012016323021300
9615666733661000
10141426617492160
1141076767654340
1213a41514069000
1360bb61b99c620
1426cd128a09200
151153c6e325990
hex80a0734c22c0

141426617492160 has 4704 divisors, whose sum is σ = 712565289160704. Its totient is φ = 26242320384000.

The previous prime is 141426617492119. The next prime is 141426617492179. The reversal of 141426617492160 is 61294716624141.

141426617492160 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 2 + 6 + 617 + 4 + 9 + 2 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4704).

It is a super-2 number, since 2×1414266174921602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 141426617492097 and 141426617492106.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 50672380365 + ... + 50672383155.

Almost surely, 2141426617492160 is an apocalyptic number.

141426617492160 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 141426617492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356282644580352).

141426617492160 is an abundant number, since it is smaller than the sum of its proper divisors (571138671668544).

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

141426617492160 is a wasteful number, since it uses less digits than its factorization.

141426617492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 141426617492160 in words is "one hundred forty-one trillion, four hundred twenty-six billion, six hundred seventeen million, four hundred ninety-two thousand, one hundred sixty".