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146730641148 = 223271337232717
BaseRepresentation
bin1000100010100111010…
…0111110011011111100
3112000201220120212122200
42020221310332123330
54401001021004043
6151223534511500
713413056604540
oct2105164763374
9460656525580
10146730641148
1157256692493
122452b965590
1310ab5137bb0
14715d4ada20
153c3ba807d3
hex2229d3e6fc

146730641148 has 216 divisors, whose sum is σ = 469180831392. Its totient is φ = 37651143168.

The previous prime is 146730641117. The next prime is 146730641177. The reversal of 146730641148 is 841146037641.

146730641148 is a `hidden beast` number, since 1 + 467 + 3 + 0 + 6 + 41 + 148 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4468486 + ... + 4501202.

Almost surely, 2146730641148 is an apocalyptic number.

146730641148 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 146730641148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234590415696).

146730641148 is an abundant number, since it is smaller than the sum of its proper divisors (322450190244).

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

146730641148 is a wasteful number, since it uses less digits than its factorization.

146730641148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32821 (or 32779 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

Adding to 146730641148 its reverse (841146037641), we get a palindrome (987876678789).

The spelling of 146730641148 in words is "one hundred forty-six billion, seven hundred thirty million, six hundred forty-one thousand, one hundred forty-eight".