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141046999299648 = 2635132173156763
BaseRepresentation
bin100000000100100000010000…
…010010100011011001000000
3200111101221221220010202200000
4200010200100102203121000
5121441403223310042043
61215552032535400000
741465211062350251
oct4004402022433100
9614357856122600
10141046999299648
1140a3a773020642
121399ba2a823000
1360918a0b7aa00
1426b89d5718b28
151148e51e662d3
hex8048104a3640

141046999299648 has 504 divisors, whose sum is σ = 480696339116448. Its totient is φ = 40846176903168.

The previous prime is 141046999299641. The next prime is 141046999299697. The reversal of 141046999299648 is 846992999640141.

141046999299648 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 469 + 9 + 9 + 2 + 99 + 64 + 8 = 666.

It is a super-2 number, since 2×1410469992996482 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (141046999299641) 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, 43102515 + ... + 46259277.

It is an arithmetic number, because the mean of its divisors is an integer number (953762577612).

Almost surely, 2141046999299648 is an apocalyptic number.

141046999299648 is a gapful number since it is divisible by the number (18) 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 141046999299648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240348169558224).

141046999299648 is an abundant number, since it is smaller than the sum of its proper divisors (339649339816800).

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

141046999299648 is a wasteful number, since it uses less digits than its factorization.

141046999299648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156833 (or 3156798 counting only the distinct ones).

The product of its (nonzero) digits is 2176782336, while the sum is 81.

The spelling of 141046999299648 in words is "one hundred forty-one trillion, forty-six billion, nine hundred ninety-nine million, two hundred ninety-nine thousand, six hundred forty-eight".