Search a number
-
+
148043071440 = 243451123731237
BaseRepresentation
bin1000100111100000001…
…1011111111111010000
3112011010101011020120000
42021320003133333100
54411143011241230
6152002100450000
713460434226115
oct2117003377720
9464111136500
10148043071440
115786a4aa820
12248373a9900
1310c64005974
14724590890c
153cb6dc8b60
hex22780dffd0

148043071440 has 800 divisors, whose sum is σ = 593804065536. Its totient is φ = 33831198720.

The previous prime is 148043071373. The next prime is 148043071483. The reversal of 148043071440 is 44170340841.

It is a happy number.

148043071440 is a `hidden beast` number, since 1 + 4 + 80 + 430 + 7 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 148043071395 and 148043071404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 119678502 + ... + 119679738.

Almost surely, 2148043071440 is an apocalyptic number.

148043071440 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 148043071440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296902032768).

148043071440 is an abundant number, since it is smaller than the sum of its proper divisors (445760994096).

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

148043071440 is a wasteful number, since it uses less digits than its factorization.

148043071440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 148043071440 in words is "one hundred forty-eight billion, forty-three million, seventy-one thousand, four hundred forty".