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146791127340 = 223451113633649
BaseRepresentation
bin1000100010110101101…
…1101101100100101100
3112000220010101220010000
42020231123231210230
54401112012033330
6151233535144300
713414422665244
oct2105533554454
9460803356100
10146791127340
1157287845680
1224548075090
1310ac4825240
147167536b24
153c4202c560
hex222d6ed92c

146791127340 has 240 divisors, whose sum is σ = 540995162400. Its totient is φ = 32848312320.

The previous prime is 146791127323. The next prime is 146791127341. The reversal of 146791127340 is 43721197641.

It is a happy number.

146791127340 is a `hidden beast` number, since 1 + 467 + 9 + 112 + 73 + 4 + 0 = 666.

146791127340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (146791127341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85165 + ... + 548484.

It is an arithmetic number, because the mean of its divisors is an integer number (2254146510).

Almost surely, 2146791127340 is an apocalyptic number.

146791127340 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 146791127340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270497581200).

146791127340 is an abundant number, since it is smaller than the sum of its proper divisors (394204035060).

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

146791127340 is a wasteful number, since it uses less digits than its factorization.

146791127340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633694 (or 633683 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 146791127340 in words is "one hundred forty-six billion, seven hundred ninety-one million, one hundred twenty-seven thousand, three hundred forty".