Search a number
-
+
13978227024 = 24357734651
BaseRepresentation
bin11010000010010101…
…01101000101010000
31100002011111111200000
431001022231011100
5212111411231044
610231013530000
71003251653316
oct150112550520
940064444600
1013978227024
115a23387943
122861343900
131419c57768
1496864a0b6
1556c281d69
hex3412ad150

13978227024 has 120 divisors (see below), whose sum is σ = 40629712032. Its totient is φ = 4652380800.

The previous prime is 13978227017. The next prime is 13978227037. The reversal of 13978227024 is 42072287931.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3003099 + ... + 3007749.

Almost surely, 213978227024 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 13978227024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20314856016).

13978227024 is an abundant number, since it is smaller than the sum of its proper divisors (26651485008).

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

13978227024 is an equidigital number, since it uses as much as digits as its factorization.

13978227024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 13978227024 in words is "thirteen billion, nine hundred seventy-eight million, two hundred twenty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 773 972 1296 1546 1944 2319 3092 3888 4638 4651 6184 6957 9276 9302 12368 13914 13953 18552 18604 20871 27828 27906 37104 37208 41742 41859 55656 55812 62613 74416 83484 83718 111312 111624 125226 125577 166968 167436 187839 223248 250452 251154 333936 334872 375678 376731 500904 502308 669744 751356 753462 1001808 1004616 1130193 1502712 1506924 2009232 2260386 3005424 3013848 3595223 4520772 6027696 7190446 9041544 10785669 14380892 18083088 21571338 28761784 32357007 43142676 57523568 64714014 86285352 97071021 129428028 172570704 194142042 258856056 291213063 388284084 517712112 582426126 776568168 873639189 1164852252 1553136336 1747278378 2329704504 3494556756 4659409008 6989113512 13978227024