Search a number
-
+
841272272148 = 2237111753556931
BaseRepresentation
bin11000011110111111011…
…11000010010100010100
32222102110201012101202210
430033133233002110110
5102240411200202043
61442250344233420
7114531340220040
oct14173757022424
92872421171683
10841272272148
112a48662a1720
1211706446b870
13614407a9199
142ca098b7020
1516d3b83d633
hexc3dfbc2514

841272272148 has 96 divisors (see below), whose sum is σ = 2591298597888. Its totient is φ = 205658611200.

The previous prime is 841272272143. The next prime is 841272272177.

841272272148 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 841272272097 and 841272272106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (841272272143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26762758 + ... + 26794173.

It is an arithmetic number, because the mean of its divisors is an integer number (26992693728).

Almost surely, 2841272272148 is an apocalyptic number.

It is an amenable number.

841272272148 is an abundant number, since it is smaller than the sum of its proper divisors (1750026325740).

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

841272272148 is a wasteful number, since it uses less digits than its factorization.

841272272148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53556973 (or 53556971 counting only the distinct ones).

The product of its digits is 802816, while the sum is 48.

The spelling of 841272272148 in words is "eight hundred forty-one billion, two hundred seventy-two million, two hundred seventy-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 7854 15708 53556931 107113862 160670793 214227724 321341586 374898517 589126241 642683172 749797034 910467827 1124695551 1178252482 1499594068 1767378723 1820935654 2249391102 2356504964 2731403481 3534757446 3641871308 4123883687 4498782204 5462806962 6373274789 7069514892 8247767374 10015146097 10925613924 12371651061 12746549578 16495534748 19119824367 20030292194 24743302122 25493099156 30045438291 38239648734 40060584388 49486604244 60090876582 70106022679 76479297468 120181753164 140212045358 210318068037 280424090716 420636136074 841272272148