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3145504131 = 337111979631
BaseRepresentation
bin1011101101111100…
…1001010110000011
322010012211011111000
42323133021112003
522420222113011
61240043023043
7140643225660
oct27337112603
98105734430
103145504131
1113746118a0
1273950aa83
133b189ac63
1421ba80a67
15136236356
hexbb7c9583

3145504131 has 64 divisors (see below), whose sum is σ = 6115737600. Its totient is φ = 1548007200.

The previous prime is 3145504099. The next prime is 3145504147. The reversal of 3145504131 is 1314055413.

It is a happy number.

3145504131 is a `hidden beast` number, since 3 + 145 + 504 + 13 + 1 = 666.

It is not a de Polignac number, because 3145504131 - 25 = 3145504099 is a prime.

It is a super-2 number, since 2×31455041312 = 19788392476276130322, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3145504095 and 3145504104.

It is not an unprimeable number, because it can be changed into a prime (3145504031) 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, 315 + ... + 79316.

It is an arithmetic number, because the mean of its divisors is an integer number (95558400).

Almost surely, 23145504131 is an apocalyptic number.

3145504131 is a deficient number, since it is larger than the sum of its proper divisors (2970233469).

3145504131 is a wasteful number, since it uses less digits than its factorization.

3145504131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79677 (or 79671 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3145504131 is about 56084.7941156959. The cubic root of 3145504131 is about 1465.1994713385.

Adding to 3145504131 its reverse (1314055413), we get a palindrome (4459559544).

The spelling of 3145504131 in words is "three billion, one hundred forty-five million, five hundred four thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 99 133 171 189 209 231 297 399 513 627 693 1197 1463 1881 2079 3591 4389 5643 13167 39501 79631 238893 557417 716679 875941 1512989 1672251 2150037 2627823 4538967 5016753 6131587 7883469 10590923 13616901 15050259 16642879 18394761 23650407 31772769 40850703 49928637 55184283 95318307 116500153 149785911 165552849 285954921 349500459 449357733 1048501377 3145504131