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5314000140 = 2234519716651
BaseRepresentation
bin1001111001011110…
…10011010100001100
3111201100020011210000
410330233103110030
541340341001030
62235145244300
7245454153531
oct47457232414
914640204700
105314000140
112287683a59
121043793690
13668c1bba7
14385a7ad88
152117cd860
hex13cbd350c

5314000140 has 120 divisors (see below), whose sum is σ = 16755841872. Its totient is φ = 1409788800.

The previous prime is 5314000127. The next prime is 5314000169. The reversal of 5314000140 is 410004135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 310815 + ... + 327465.

Almost surely, 25314000140 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 5314000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377920936).

5314000140 is an abundant number, since it is smaller than the sum of its proper divisors (11441841732).

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

5314000140 is a wasteful number, since it uses less digits than its factorization.

5314000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16869 (or 16858 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5314000140 is about 72897.1888346869. The cubic root of 5314000140 is about 1745.0472358814.

Adding to 5314000140 its reverse (410004135), we get a palindrome (5724004275).

The spelling of 5314000140 in words is "five billion, three hundred fourteen million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 197 270 324 394 405 540 591 788 810 985 1182 1620 1773 1970 2364 2955 3546 3940 5319 5910 7092 8865 10638 11820 15957 16651 17730 21276 26595 31914 33302 35460 49953 53190 63828 66604 79785 83255 99906 106380 149859 159570 166510 199812 249765 299718 319140 333020 449577 499530 599436 749295 899154 999060 1348731 1498590 1798308 2247885 2697462 2997180 3280247 4495770 5394924 6560494 6743655 8991540 9840741 13120988 13487310 16401235 19681482 26974620 29522223 32802470 39362964 49203705 59044446 65604940 88566669 98407410 118088892 147611115 177133338 196814820 265700007 295222230 354266676 442833345 531400014 590444460 885666690 1062800028 1328500035 1771333380 2657000070 5314000140