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3142433544 = 2331731614073
BaseRepresentation
bin1011101101001101…
…1011101100001000
322010000001011102120
42323103123230020
522413430333134
61235453131240
7140605146555
oct27323335410
98100034376
103142433544
111372904918
12738489b20
133b1064443
1421b4c1a2c
15135d2b649
hexbb4dbb08

3142433544 has 128 divisors (see below), whose sum is σ = 8729441280. Its totient is φ = 938188800.

The previous prime is 3142433543. The next prime is 3142433599. The reversal of 3142433544 is 4453342413.

It is a super-3 number, since 3×31424335443 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3142433543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769492 + ... + 773564.

It is an arithmetic number, because the mean of its divisors is an integer number (68198760).

Almost surely, 23142433544 is an apocalyptic number.

3142433544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142433544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364720640).

3142433544 is an abundant number, since it is smaller than the sum of its proper divisors (5587007736).

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

3142433544 is a wasteful number, since it uses less digits than its factorization.

3142433544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4187 counting only the distinct ones).

The product of its digits is 69120, while the sum is 33.

The square root of 3142433544 is about 56057.4129263918. The cubic root of 3142433544 is about 1464.7225486140.

Adding to 3142433544 its reverse (4453342413), we get a palindrome (7595775957).

The spelling of 3142433544 in words is "three billion, one hundred forty-two million, four hundred thirty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 61 62 68 93 102 122 124 136 183 186 204 244 248 366 372 408 488 527 732 744 1037 1054 1464 1581 1891 2074 2108 3111 3162 3782 4073 4148 4216 5673 6222 6324 7564 8146 8296 11346 12219 12444 12648 15128 16292 22692 24438 24888 32147 32584 45384 48876 64294 69241 96441 97752 126263 128588 138482 192882 207723 248453 252526 257176 276964 378789 385764 415446 496906 505052 553928 745359 757578 771528 830892 993812 1010104 1490718 1515156 1661784 1987624 2146471 2981436 3030312 4223701 4292942 5962872 6439413 7702043 8447402 8585884 12671103 12878826 15404086 16894804 17171768 23106129 25342206 25757652 30808172 33789608 46212258 50684412 51515304 61616344 92424516 101368824 130934731 184849032 261869462 392804193 523738924 785608386 1047477848 1571216772 3142433544