Search a number
-
+
13123255214024 = 233724137337829
BaseRepresentation
bin1011111011110111111011…
…1101110001111111001000
31201110120102012221010221022
42332331332331301333020
53210002411313322044
643524423515332012
72523060332545604
oct276757675617710
951416365833838
1013123255214024
1141aa5a549a33a
12157b45b751008
137426963a3a17
1433525180a504
1517b5752e53ee
hexbef7ef71fc8

13123255214024 has 96 divisors (see below), whose sum is σ = 25916164180200. Its totient is φ = 6226108139520.

The previous prime is 13123255213921. The next prime is 13123255214039. The reversal of 13123255214024 is 42041255232131.

It can be written as a sum of positive squares in 12 ways, for example, as 1826060337124 + 11297194876900 = 1351318^2 + 3361130^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676232542 + ... + 1676240370.

Almost surely, 213123255214024 is an apocalyptic number.

It is an amenable number.

13123255214024 is a deficient number, since it is larger than the sum of its proper divisors (12792908966176).

13123255214024 is a wasteful number, since it uses less digits than its factorization.

13123255214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11683 (or 11642 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 13123255214024 in words is "thirteen trillion, one hundred twenty-three billion, two hundred fifty-five million, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 8 37 41 74 82 148 164 296 328 1369 1517 2738 3034 3733 5476 6068 7466 7829 10952 12136 14932 15658 29864 31316 56129 62632 112258 138121 153053 224516 276242 289673 306106 320989 449032 552484 579346 612212 641978 1104968 1158692 1224424 1283956 2317384 2567912 5110477 5662961 10220954 10717901 11325922 11876593 20441908 21435802 22651844 23753186 29225657 40883816 42871604 45303688 47506372 58451314 85743208 95012744 116902628 209529557 233805256 419059114 439433941 838118228 878867882 1081349309 1198251937 1676236456 1757735764 2162698618 2396503874 3515471528 4325397236 4793007748 8650794472 9586015496 40009924433 44335321669 80019848866 88670643338 160039697732 177341286676 320079395464 354682573352 1640406901753 3280813803506 6561627607012 13123255214024