Search a number
-
+
5123014000 = 2453131031913
BaseRepresentation
bin1001100010101101…
…01111110101110000
3111020000212002001021
410301112233311300
540442442422000
62204203545224
7240644620606
oct46126576560
914200762037
105123014000
112199898275
12bab82b214
1363849c640
14368563876
151eeb5511a
hex1315afd70

5123014000 has 160 divisors (see below), whose sum is σ = 13476887424. Its totient is φ = 1872230400.

The previous prime is 5123013979. The next prime is 5123014003. The reversal of 5123014000 is 4103215.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5123014003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2677044 + ... + 2678956.

Almost surely, 25123014000 is an apocalyptic number.

5123014000 is a gapful number since it is divisible by the number (50) 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 5123014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738443712).

5123014000 is an abundant number, since it is smaller than the sum of its proper divisors (8353873424).

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

5123014000 is a wasteful number, since it uses less digits than its factorization.

5123014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5123014000 is about 71575.2331466688. The cubic root of 5123014000 is about 1723.8858870463.

Adding to 5123014000 its reverse (4103215), we get a palindrome (5127117215).

The spelling of 5123014000 in words is "five billion, one hundred twenty-three million, fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 103 104 125 130 200 206 208 250 260 325 400 412 500 515 520 650 824 1000 1030 1040 1300 1339 1625 1648 1913 2000 2060 2575 2600 2678 3250 3826 4120 5150 5200 5356 6500 6695 7652 8240 9565 10300 10712 12875 13000 13390 15304 19130 20600 21424 24869 25750 26000 26780 30608 33475 38260 41200 47825 49738 51500 53560 66950 76520 95650 99476 103000 107120 124345 133900 153040 167375 191300 197039 198952 206000 239125 248690 267800 334750 382600 394078 397904 478250 497380 535600 621725 669500 765200 788156 956500 985195 994760 1243450 1339000 1576312 1913000 1970390 1989520 2486900 2561507 2678000 3108625 3152624 3826000 3940780 4925975 4973800 5123014 6217250 7881560 9851950 9947600 10246028 12434500 12807535 15763120 19703900 20492056 24629875 24869000 25615070 39407800 40984112 49259750 49738000 51230140 64037675 78815600 98519500 102460280 128075350 197039000 204920560 256150700 320188375 394078000 512301400 640376750 1024602800 1280753500 2561507000 5123014000