Search a number
-
+
2857814124741 = 343161123715083
BaseRepresentation
bin101001100101100010111…
…111101110100011000101
3101010012111222110102120000
4221211202333232203011
5333310300403442431
610024510042431513
7413320204154442
oct51454277564305
911105458412500
102857814124741
11a01aa0630164
123a1a44202599
1317964c1436c4
149c4672669c9
154e511b959e6
hex29962fee8c5

2857814124741 has 80 divisors (see below), whose sum is σ = 4482953215488. Its totient is φ = 1811939414400.

The previous prime is 2857814124731. The next prime is 2857814124749. The reversal of 2857814124741 is 1474214187582.

It is a happy number.

2857814124741 is a `hidden beast` number, since 2 + 8 + 57 + 81 + 41 + 2 + 474 + 1 = 666.

It is not a de Polignac number, because 2857814124741 - 217 = 2857813993669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2857814124749) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 189464986 + ... + 189480068.

Almost surely, 22857814124741 is an apocalyptic number.

It is an amenable number.

2857814124741 is a deficient number, since it is larger than the sum of its proper divisors (1625139090747).

2857814124741 is a wasteful number, since it uses less digits than its factorization.

2857814124741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16424 (or 16415 counting only the distinct ones).

The product of its digits is 4014080, while the sum is 54.

The spelling of 2857814124741 in words is "two trillion, eight hundred fifty-seven billion, eight hundred fourteen million, one hundred twenty-four thousand, seven hundred forty-one".

Divisors: 1 3 9 27 31 61 81 93 183 279 549 837 1237 1647 1891 2511 3711 4941 5673 11133 15083 17019 33399 38347 45249 51057 75457 100197 115041 135747 153171 226371 345123 407241 467573 679113 920063 1035369 1221723 1402719 2037339 2339167 2760189 3106107 4208157 6112017 7017501 8280567 12624471 18657671 21052503 24841701 28521953 37873413 55973013 63157509 74525103 85565859 167919039 189472527 256697577 503757117 578387801 770092731 1138117931 1511271351 1735163403 2310278193 3414353793 5205490209 10243061379 15616470627 30729184137 35281655861 46849411881 92187552411 105844967583 317534902749 952604708247 2857814124741