Search a number
-
+
49210741440 = 2632574675227
BaseRepresentation
bin101101110101001100…
…000101001011000000
311201000120200200102100
4231311030011023000
51301240422211230
634335044550400
73361326254250
oct556514051300
9151016620370
1049210741440
11199631a9453
1296546b2400
1348433ab023
14254b99d960
151430440660
hexb753052c0

49210741440 has 336 divisors, whose sum is σ = 193896398592. Its totient is φ = 11221936128.

The previous prime is 49210741439. The next prime is 49210741501. The reversal of 49210741440 is 4414701294.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 49210741395 and 49210741404.

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, 9412107 + ... + 9417333.

Almost surely, 249210741440 is an apocalyptic number.

49210741440 is a gapful number since it is divisible by the number (40) 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 49210741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96948199296).

49210741440 is an abundant number, since it is smaller than the sum of its proper divisors (144685657152).

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

49210741440 is a wasteful number, since it uses less digits than its factorization.

49210741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 49210741440 in words is "forty-nine billion, two hundred ten million, seven hundred forty-one thousand, four hundred forty".