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1148241844191 = 31336721972
BaseRepresentation
bin10000101101011000100…
…011000001011111011111
311001202210221121100222210
4100231120203001133133
5122303044403003231
62235254531411503
7145646334431421
oct20553043013737
94052727540883
101148241844191
11402a6a64a612
12166653a53b93
1384381519000
143d80a4d4811
151ed05d05a46
hex10b588c17df

1148241844191 has 72 divisors (see below), whose sum is σ = 1692226638480. Its totient is φ = 692530622784.

The previous prime is 1148241844177. The next prime is 1148241844201. The reversal of 1148241844191 is 1914481428411.

It is not a de Polignac number, because 1148241844191 - 214 = 1148241827807 is a prime.

It is a super-2 number, since 2×11482418441912 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1148241844191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148241842191) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5828638705 + ... + 5828638901.

Almost surely, 21148241844191 is an apocalyptic number.

1148241844191 is a deficient number, since it is larger than the sum of its proper divisors (543984794289).

1148241844191 is an frugal number, since it uses more digits than its factorization.

1148241844191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 280 counting only the distinct ones).

The product of its digits is 294912, while the sum is 48.

The spelling of 1148241844191 in words is "one trillion, one hundred forty-eight billion, two hundred forty-one million, eight hundred forty-four thousand, one hundred ninety-one".

Divisors: 1 3 13 39 67 169 197 201 507 591 871 2197 2561 2613 4489 6591 7683 11323 13199 13467 33293 33969 38809 39597 58357 99879 116427 147199 171587 175071 432809 441597 504517 514761 758641 884333 1298427 1513551 2230631 2275923 2600203 2652999 6558721 6691893 7800609 9862333 11496329 19676163 28998203 29586999 33802639 34488987 85263373 86994609 101407917 149452277 174213601 255790119 439434307 448356831 522640803 1318302921 1942879601 2264776813 5712645991 5828638803 6794330439 17137937973 29442098569 88326295707 382747281397 1148241844191