Search a number
-
+
141576137472 = 28372111272693
BaseRepresentation
bin1000001111011010011…
…0000110101100000000
3111112102200110221220010
42003312212012230000
54304421442344342
6145012243544520
713141250212200
oct2036646065400
9445380427803
10141576137472
11550510475a0
122353168b140
1310473291513
146bd0ab0400
153a392aa29c
hex20f6986b00

141576137472 has 432 divisors, whose sum is σ = 482108239872. Its totient is φ = 36469923840.

The previous prime is 141576137467. The next prime is 141576137537. The reversal of 141576137472 is 274731675141.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52570558 + ... + 52573250.

It is an arithmetic number, because the mean of its divisors is an integer number (1115991296).

Almost surely, 2141576137472 is an apocalyptic number.

141576137472 is a gapful number since it is divisible by the number (12) 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 141576137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241054119936).

141576137472 is an abundant number, since it is smaller than the sum of its proper divisors (340532102400).

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

141576137472 is a wasteful number, since it uses less digits than its factorization.

141576137472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2843 counting only the distinct ones).

The product of its digits is 987840, while the sum is 48.

The spelling of 141576137472 in words is "one hundred forty-one billion, five hundred seventy-six million, one hundred thirty-seven thousand, four hundred seventy-two".