Search a number
-
+
3146153136 = 243743713067
BaseRepresentation
bin1011101110000110…
…0111110010110000
322010021001010202020
42323201213302300
522420403400021
61240104551440
7140651601060
oct27341476260
98107033666
103146153136
111374a15465
12739782580
133b1a67499
1421bbad3a0
151363137c6
hexbb867cb0

3146153136 has 160 divisors (see below), whose sum is σ = 9641668608. Its totient is φ = 865347840.

The previous prime is 3146153123. The next prime is 3146153173. The reversal of 3146153136 is 6313516413.

It is a junction number, because it is equal to n+sod(n) for n = 3146153097 and 3146153106.

It is an unprimeable number.

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, 1024275 + ... + 1027341.

Almost surely, 23146153136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146153136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820834304).

3146153136 is an abundant number, since it is smaller than the sum of its proper divisors (6495515472).

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

3146153136 is a wasteful number, since it uses less digits than its factorization.

3146153136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3193 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 3146153136 is about 56090.5797438393. The cubic root of 3146153136 is about 1465.3002348780.

Adding to 3146153136 its reverse (6313516413), we get a palindrome (9459669549).

The spelling of 3146153136 in words is "three billion, one hundred forty-six million, one hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 71 84 86 112 129 142 168 172 213 258 284 301 336 344 426 497 516 568 602 688 852 903 994 1032 1136 1204 1491 1704 1806 1988 2064 2408 2982 3053 3067 3408 3612 3976 4816 5964 6106 6134 7224 7952 9159 9201 11928 12212 12268 14448 18318 18402 21371 21469 23856 24424 24536 36636 36804 42742 42938 48848 49072 64113 64407 73272 73608 85484 85876 128226 128814 131881 146544 147216 170968 171752 217757 256452 257628 263762 341936 343504 395643 435514 512904 515256 527524 653271 791286 871028 923167 1025808 1030512 1055048 1306542 1524299 1582572 1742056 1846334 2110096 2613084 2769501 3048598 3165144 3484112 3692668 4572897 5226168 5539002 6097196 6330288 7385336 9145794 9363551 10452336 11078004 12194392 14770672 18291588 18727102 22156008 24388784 28090653 36583176 37454204 44312016 56181306 65544857 73166352 74908408 112362612 131089714 149816816 196634571 224725224 262179428 393269142 449450448 524358856 786538284 1048717712 1573076568 3146153136