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3145113594 = 232717286371
BaseRepresentation
bin1011101101110110…
…1001111111111010
322010012002022202200
42323131221333322
522420122113334
61240030411030
7140640011250
oct27335517772
98105068680
103145113594
111374375437
12739360a76
133b179227c
1421b9bc5d0
151361aa799
hexbb769ffa

3145113594 has 72 divisors (see below), whose sum is σ = 8273055648. Its totient is φ = 845735040.

The previous prime is 3145113581. The next prime is 3145113607. The reversal of 3145113594 is 4953115413.

3145113594 is a `hidden beast` number, since 3 + 1 + 4 + 51 + 13 + 594 = 666.

It is an interprime number because it is at equal distance from previous prime (3145113581) and next prime (3145113607).

It is a super-3 number, since 3×31451135943 (a number of 29 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 6772 + ... + 79599.

Almost surely, 23145113594 is an apocalyptic number.

3145113594 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145113594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136527824).

3145113594 is an abundant number, since it is smaller than the sum of its proper divisors (5127942054).

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

3145113594 is a wasteful number, since it uses less digits than its factorization.

3145113594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86420 (or 86400 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 3145113594 is about 56081.3123419914. The cubic root of 3145113594 is about 1465.1388304719.

The spelling of 3145113594 in words is "three billion, one hundred forty-five million, one hundred thirteen thousand, five hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 289 306 357 578 714 867 1071 1734 2023 2142 2601 4046 5202 6069 12138 18207 36414 86371 172742 259113 518226 604597 777339 1209194 1468307 1554678 1813791 2936614 3627582 4404921 5441373 8809842 10278149 10882746 13214763 20556298 24961219 26429526 30834447 49922438 61668894 74883657 92503341 149767314 174728533 185006682 224650971 349457066 449301942 524185599 1048371198 1572556797 3145113594