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5314106112 = 28371019787
BaseRepresentation
bin1001111001011111…
…01101001100000000
3111201100102120010220
410330233231030000
541340402343422
62235151423040
7245455104510
oct47457551400
914640376126
105314106112
112287746637
121043824a80
13668c581b3
14385aa7840
152117eee5c
hex13cbed300

5314106112 has 144 divisors (see below), whose sum is σ = 16325444352. Its totient is φ = 1503129600.

The previous prime is 5314106033. The next prime is 5314106129. The reversal of 5314106112 is 2116014135.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538083 + ... + 547869.

Almost surely, 25314106112 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 5314106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8162722176).

5314106112 is an abundant number, since it is smaller than the sum of its proper divisors (11011338240).

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

5314106112 is a wasteful number, since it uses less digits than its factorization.

5314106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9914 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5314106112 is about 72897.9156903680. The cubic root of 5314106112 is about 1745.0588357379.

The spelling of 5314106112 in words is "five billion, three hundred fourteen million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 128 168 192 202 224 256 303 336 384 404 448 606 672 707 768 808 896 1212 1344 1414 1616 1792 2121 2424 2688 2828 3232 4242 4848 5376 5656 6464 8484 9696 9787 11312 12928 16968 19392 19574 22624 25856 29361 33936 38784 39148 45248 58722 67872 68509 77568 78296 90496 117444 135744 137018 156592 180992 205527 234888 271488 274036 313184 411054 469776 542976 548072 626368 822108 939552 988487 1096144 1252736 1644216 1879104 1976974 2192288 2505472 2965461 3288432 3758208 3953948 4384576 5930922 6576864 6919409 7516416 7907896 8769152 11861844 13153728 13838818 15815792 17538304 20758227 23723688 26307456 27677636 31631584 41516454 47447376 52614912 55355272 63263168 83032908 94894752 110710544 126526336 166065816 189789504 221421088 253052672 332131632 379579008 442842176 664263264 759158016 885684352 1328526528 1771368704 2657053056 5314106112