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3142432314 = 233747732423
BaseRepresentation
bin1011101101001101…
…1011011000111010
322010000001002202000
42323103123120322
522413430313224
61235453121430
7140605143150
oct27323333072
98100032660
103142432314
1113729039aa
12738489276
133b1063a08
1421b4c13d0
15135d2b0c9
hexbb4db63a

3142432314 has 128 divisors (see below), whose sum is σ = 8265646080. Its totient is φ = 866339712.

The previous prime is 3142432309. The next prime is 3142432333. The reversal of 3142432314 is 4132342413.

3142432314 is a `hidden beast` number, since 3 + 1 + 424 + 3 + 231 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1295707 + ... + 1298129.

It is an arithmetic number, because the mean of its divisors is an integer number (64575360).

Almost surely, 23142432314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142432314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132823040).

3142432314 is an abundant number, since it is smaller than the sum of its proper divisors (5123213766).

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

3142432314 is a wasteful number, since it uses less digits than its factorization.

3142432314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2555 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3142432314 is about 56057.4019554956. The cubic root of 3142432314 is about 1464.7223575085.

Adding to 3142432314 its reverse (4132342413), we get a palindrome (7274774727).

The spelling of 3142432314 in words is "three billion, one hundred forty-two million, four hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 73 94 126 141 146 189 219 282 329 378 423 438 511 657 658 846 987 1022 1269 1314 1533 1971 1974 2423 2538 2961 3066 3431 3942 4599 4846 5922 6862 7269 8883 9198 10293 13797 14538 16961 17766 20586 21807 24017 27594 30879 33922 43614 48034 50883 61758 65421 72051 92637 101766 113881 130842 144102 152649 176879 185274 216153 227762 305298 341643 353758 432306 457947 530637 648459 683286 797167 915894 1024929 1061274 1238153 1296918 1591911 1594334 2049858 2391501 2476306 3074787 3183822 3714459 4775733 4783002 6149574 7174503 7428918 8313313 9551466 11143377 14349006 16626626 21523509 22286754 24939939 33430131 43047018 49879878 58193191 66860262 74819817 116386382 149639634 174579573 224459451 349159146 448918902 523738719 1047477438 1571216157 3142432314