Search a number
-
+
148105229207040 = 293457163625979
BaseRepresentation
bin100001101011001101101111…
…100100111000011000000000
3201102101201111001221112020000
4201223031233210320120000
5123403024002134111130
61242554334130120000
743124151434562360
oct4153155744703000
9642351431845200
10148105229207040
1143211090879196
121473b951720000
1364843562b5231
14288048d2b49a0
15121c8547bb260
hex86b36f938600

148105229207040 has 800 divisors, whose sum is σ = 609967291380480. Its totient is φ = 33644885262336.

The previous prime is 148105229207021. The next prime is 148105229207123. The reversal of 148105229207040 is 40702922501841.

148105229207040 is a `hidden beast` number, since 1 + 4 + 8 + 10 + 522 + 9 + 2 + 0 + 70 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236284771 + ... + 236910749.

Almost surely, 2148105229207040 is an apocalyptic number.

148105229207040 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 148105229207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304983645690240).

148105229207040 is an abundant number, since it is smaller than the sum of its proper divisors (461862062173440).

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

148105229207040 is an equidigital number, since it uses as much as digits as its factorization.

148105229207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626184 (or 626159 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 148105229207040 in words is "one hundred forty-eight trillion, one hundred five billion, two hundred twenty-nine million, two hundred seven thousand, forty".