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5214995440 = 245712633491
BaseRepresentation
bin1001101101101011…
…01000001111110000
3111110102221012212021
410312311220033300
541140014323230
62221251241224
7243142505224
oct46665501760
914412835767
105214995440
112236802296
1210165a9214
13651566425
14376868784
15207c73c7a
hex136d683f0

5214995440 has 80 divisors (see below), whose sum is σ = 12345924096. Its totient is φ = 2048211200.

The previous prime is 5214995399. The next prime is 5214995447. The reversal of 5214995440 is 445994125.

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

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214995447) by changing a digit.

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, 1492095 + ... + 1495585.

Almost surely, 25214995440 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 5214995440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6172962048).

5214995440 is an abundant number, since it is smaller than the sum of its proper divisors (7130928656).

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

5214995440 is a wasteful number, since it uses less digits than its factorization.

5214995440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 5214995440 is about 72214.9253271095. The cubic root of 5214995440 is about 1734.1419504584.

The spelling of 5214995440 in words is "five billion, two hundred fourteen million, nine hundred ninety-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 263 284 355 526 568 710 1052 1136 1315 1420 2104 2630 2840 3491 4208 5260 5680 6982 10520 13964 17455 18673 21040 27928 34910 37346 55856 69820 74692 93365 139640 149384 186730 247861 279280 298768 373460 495722 746920 918133 991444 1239305 1493840 1836266 1982888 2478610 3672532 3965776 4590665 4957220 7345064 9181330 9914440 14690128 18362660 19828880 36725320 65187443 73450640 130374886 260749772 325937215 521499544 651874430 1042999088 1303748860 2607497720 5214995440