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5022111440 = 2451714592531
BaseRepresentation
bin1001010110101011…
…10101011011010000
3110221222222200202102
410223111311123100
540241130031230
62150201135532
7235311146213
oct45325653320
913858880672
105022111440
11214793a725
12b81a8a5a8
13620601098
14358db977a
151e5d73045
hex12b5756d0

5022111440 has 80 divisors (see below), whose sum is σ = 12376618560. Its totient is φ = 1888634880.

The previous prime is 5022111403. The next prime is 5022111463. The reversal of 5022111440 is 441112205.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1982975 + ... + 1985505.

It is an arithmetic number, because the mean of its divisors is an integer number (154707732).

Almost surely, 25022111440 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 5022111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6188309280).

5022111440 is an abundant number, since it is smaller than the sum of its proper divisors (7354507120).

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

5022111440 is a wasteful number, since it uses less digits than its factorization.

5022111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 5022111440 is about 70866.8571336418. The cubic root of 5022111440 is about 1712.4929087742.

Adding to 5022111440 its reverse (441112205), we get a palindrome (5463223645).

The spelling of 5022111440 in words is "five billion, twenty-two million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1459 2531 2918 5062 5836 7295 10124 11672 12655 14590 20248 23344 24803 25310 29180 40496 43027 49606 50620 58360 86054 99212 101240 116720 124015 172108 198424 202480 215135 248030 344216 396848 430270 496060 688432 860540 992120 1721080 1984240 3442160 3692729 7385458 14770916 18463645 29541832 36927290 59083664 62776393 73854580 125552786 147709160 251105572 295418320 313881965 502211144 627763930 1004422288 1255527860 2511055720 5022111440