Search a number
-
+
272244712740 = 2235711132834201
BaseRepresentation
bin1111110110001100001…
…1001010010100100100
3222000201012110100100220
43331203003022110210
513430024121301430
6325022325004340
725445322606450
oct3754303122444
9860635410326
10272244712740
11a5505052170
124491a2536b0
131c898821b00
14d268c93660
157135b85110
hex3f630ca524

272244712740 has 576 divisors, whose sum is σ = 1041758226432. Its totient is φ = 51577344000.

The previous prime is 272244712711. The next prime is 272244712763. The reversal of 272244712740 is 47217442272.

It is a super-2 number, since 2×2722447127402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 272244712692 and 272244712701.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64802640 + ... + 64806840.

It is an arithmetic number, because the mean of its divisors is an integer number (1808608032).

Almost surely, 2272244712740 is an apocalyptic number.

272244712740 is a gapful number since it is divisible by the number (20) 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 272244712740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520879113216).

272244712740 is an abundant number, since it is smaller than the sum of its proper divisors (769513513692).

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

272244712740 is a wasteful number, since it uses less digits than its factorization.

272244712740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 42.

The spelling of 272244712740 in words is "two hundred seventy-two billion, two hundred forty-four million, seven hundred twelve thousand, seven hundred forty".