Search a number
-
+
2971299114252 = 22327191279485201
BaseRepresentation
bin101011001111001111001…
…110100110110100001100
3101112001102221111012210200
4223033033032212310030
5342140210033124002
610152555043533500
7424445363516250
oct53171716466414
911461387435720
102971299114252
11a46136985497
123bba3608a290
13187266652881
14a3b5121c260
1552454bd2b1c
hex2b3cf3a6d0c

2971299114252 has 144 divisors (see below), whose sum is σ = 9042612633600. Its totient is φ = 803630937600.

The previous prime is 2971299114193. The next prime is 2971299114269. The reversal of 2971299114252 is 2524119921792.

2971299114252 is a `hidden beast` number, since 2 + 9 + 7 + 129 + 91 + 1 + 425 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5881252 + ... + 6366452.

Almost surely, 22971299114252 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 2971299114252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521306316800).

2971299114252 is an abundant number, since it is smaller than the sum of its proper divisors (6071313519348).

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

2971299114252 is a wasteful number, since it uses less digits than its factorization.

2971299114252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486516 (or 486511 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The spelling of 2971299114252 in words is "two trillion, nine hundred seventy-one billion, two hundred ninety-nine million, one hundred fourteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1279 1596 2394 2558 3837 4788 5116 7674 8953 11511 15348 17906 23022 24301 26859 35812 46044 48602 53718 72903 80577 97204 107436 145806 161154 170107 218709 291612 322308 340214 437418 485201 510321 680428 874836 970402 1020642 1455603 1530963 1940804 2041284 2911206 3061926 3396407 4366809 5822412 6123852 6792814 8733618 9218819 10189221 13585628 17467236 18437638 20378442 27656457 30567663 36875276 40756884 55312914 61135326 64531733 82969371 110625828 122270652 129063466 165938742 193595199 258126932 331877484 387190398 580785597 620572079 774380796 1161571194 1241144158 1861716237 2323142388 2482288316 3723432474 4344004553 5585148711 7446864948 8688009106 11170297422 11790869501 13032013659 17376018212 22340594844 23581739002 26064027318 35372608503 39096040977 47163478004 52128054636 70745217006 78192081954 82536086507 106117825509 141490434012 156384163908 165072173014 212235651018 247608259521 330144346028 424471302036 495216519042 742824778563 990433038084 1485649557126 2971299114252