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5143550144 = 26594193251
BaseRepresentation
bin1001100101001010…
…00101100011000000
3111021110111102100012
410302211011203000
541013222101034
62210220044052
7241314312005
oct46245054300
914243442305
105143550144
1121aa444397
12bb6693628
1363c80cac5
1436b18b8ac
1520185ecce
hex1329458c0

5143550144 has 56 divisors (see below), whose sum is σ = 10407700800. Its totient is φ = 2521376000.

The previous prime is 5143550123. The next prime is 5143550147. The reversal of 5143550144 is 4410553415.

It is a super-2 number, since 2×51435501442 = 52912216167684841472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5143550144.

It is not an unprimeable number, because it can be changed into a prime (5143550147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1580519 + ... + 1583769.

It is an arithmetic number, because the mean of its divisors is an integer number (185851800).

Almost surely, 25143550144 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 5143550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203850400).

5143550144 is an abundant number, since it is smaller than the sum of its proper divisors (5264150656).

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

5143550144 is a wasteful number, since it uses less digits than its factorization.

5143550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 5143550144 is about 71718.5481169272. The cubic root of 5143550144 is about 1726.1862756913.

The spelling of 5143550144 in words is "five billion, one hundred forty-three million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 118 236 419 472 838 944 1676 1888 3251 3352 3776 6502 6704 13004 13408 24721 26008 26816 49442 52016 98884 104032 191809 197768 208064 383618 395536 767236 791072 1362169 1534472 1582144 2724338 3068944 5448676 6137888 10897352 12275776 21794704 43589408 80367971 87178816 160735942 321471884 642943768 1285887536 2571775072 5143550144