Search a number
-
+
145572036470448 = 243722331259133503
BaseRepresentation
bin100001000110010110100001…
…100001011110011010110000
3201002102112212111220020101220
4201012112201201132122300
5123040023012314023243
61233334511554225040
742443142524600100
oct4106264141363260
9632375774806356
10145572036470448
11424248325946a5
12143b0a04585180
13632c4cbc43573
1427d3a1d13d200
1511c69e1b1a783
hex8465a185e6b0

145572036470448 has 480 divisors, whose sum is σ = 471399826194432. Its totient is φ = 38484310233600.

The previous prime is 145572036470447. The next prime is 145572036470453. The reversal of 145572036470448 is 844074630275541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 145572036470391 and 145572036470400.

It is not an unprimeable number, because it can be changed into a prime (145572036470447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4345028065 + ... + 4345061567.

Almost surely, 2145572036470448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145572036470448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699913097216).

145572036470448 is an abundant number, since it is smaller than the sum of its proper divisors (325827789723984).

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

145572036470448 is a wasteful number, since it uses less digits than its factorization.

145572036470448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36173 (or 36160 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 60.

The spelling of 145572036470448 in words is "one hundred forty-five trillion, five hundred seventy-two billion, thirty-six million, four hundred seventy thousand, four hundred forty-eight".