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5214031440 = 243559936269
BaseRepresentation
bin1001101101100011…
…11100111001010000
3111110101010020111120
410312301330321100
541134243001230
62221214442240
7243131351562
oct46661747120
914411106446
105214031440
112236203aa2
121016203380
136512b9707
14376697332
15207b33310
hex136c7ce50

5214031440 has 80 divisors (see below), whose sum is σ = 16190928000. Its totient is φ = 1388048896.

The previous prime is 5214031439. The next prime is 5214031469. The reversal of 5214031440 is 441304125.

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

It is a super-2 number, since 2×52140314402 = 54372247714616947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5214031440.

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, 125626 + ... + 161894.

It is an arithmetic number, because the mean of its divisors is an integer number (202386600).

Almost surely, 25214031440 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 5214031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095464000).

5214031440 is an abundant number, since it is smaller than the sum of its proper divisors (10976896560).

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

5214031440 is a wasteful number, since it uses less digits than its factorization.

5214031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36884 (or 36878 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5214031440 is about 72208.2504981252. The cubic root of 5214031440 is about 1734.0350909302.

Adding to 5214031440 its reverse (441304125), we get a palindrome (5655335565).

The spelling of 5214031440 in words is "five billion, two hundred fourteen million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 599 1198 1797 2396 2995 3594 4792 5990 7188 8985 9584 11980 14376 17970 23960 28752 35940 36269 47920 71880 72538 108807 143760 145076 181345 217614 290152 362690 435228 544035 580304 725380 870456 1088070 1450760 1740912 2176140 2901520 4352280 8704560 21725131 43450262 65175393 86900524 108625655 130350786 173801048 217251310 260701572 325876965 347602096 434502620 521403144 651753930 869005240 1042806288 1303507860 1738010480 2607015720 5214031440