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3142552413 = 3711133728283
BaseRepresentation
bin1011101101001111…
…1000101101011101
322010000021012111010
42323103320231131
522413443134123
61235455445433
7140606153250
oct27323705535
98100235433
103142552413
111372986160
12738526879
133b10a6590
1421b513097
15135d51993
hexbb4f8b5d

3142552413 has 64 divisors (see below), whose sum is σ = 5778081792. Its totient is φ = 1466138880.

The previous prime is 3142552411. The next prime is 3142552417.

3142552413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3142552413 - 21 = 3142552411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142552411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96970 + ... + 125252.

It is an arithmetic number, because the mean of its divisors is an integer number (90282528).

Almost surely, 23142552413 is an apocalyptic number.

3142552413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3142552413 is a deficient number, since it is larger than the sum of its proper divisors (2635529379).

3142552413 is a wasteful number, since it uses less digits than its factorization.

3142552413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28354.

The product of its digits is 14400, while the sum is 30.

The square root of 3142552413 is about 56058.4731597285. The cubic root of 3142552413 is about 1464.7410170936.

It can be divided in two parts, 31425 and 52413, that added together give a palindrome (83838).

The spelling of 3142552413 in words is "three billion, one hundred forty-two million, five hundred fifty-two thousand, four hundred thirteen".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 28283 37037 84849 111111 197981 311113 367679 593943 933339 1046471 1103037 2177791 2573753 3139413 4044469 6533373 7325297 7721259 11511181 12133407 13604123 21975891 28311283 34533543 40812369 80578267 84933849 95228861 149645353 241734801 285686583 448936059 1047517471 3142552413