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155142241551 = 32114139239743
BaseRepresentation
bin1001000001111100110…
…0101011110100001111
3112211110010111110011100
42100133030223310033
510020212403212201
6155134340354143
714131366203063
oct2203714536417
9484403443140
10155142241551
115a882829360
12260989a5953
1311825a2173b
14771a6bbaa3
154080281886
hex241f32bd0f

155142241551 has 48 divisors (see below), whose sum is σ = 250518707712. Its totient is φ = 91699497600.

The previous prime is 155142241549. The next prime is 155142241567.

155142241551 is a `hidden beast` number, since 1 + 55 + 14 + 2 + 2 + 41 + 551 = 666.

155142241551 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 155142241551 - 21 = 155142241549 is a prime.

It is a super-2 number, since 2×1551422415512 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155142241511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15918586 + ... + 15928328.

It is an arithmetic number, because the mean of its divisors is an integer number (5219139744).

Almost surely, 2155142241551 is an apocalyptic number.

155142241551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

155142241551 is a deficient number, since it is larger than the sum of its proper divisors (95376466161).

155142241551 is a wasteful number, since it uses less digits than its factorization.

155142241551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13724 (or 13721 counting only the distinct ones).

The product of its digits is 40000, while the sum is 36.

It can be divided in two parts, 155142 and 241551, that added together give a palindrome (396693).

The spelling of 155142241551 in words is "one hundred fifty-five billion, one hundred forty-two million, two hundred forty-one thousand, five hundred fifty-one".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 3923 4059 9743 11769 29229 35307 43153 87687 107173 129459 160843 321519 388377 399463 482529 964557 1198389 1447587 1769273 3595167 4394093 5307819 13182279 15923457 38221789 39546837 114665367 343996101 420439679 1261319037 1567093349 3783957111 4701280047 14103840141 17238026839 51714080517 155142241551