Search a number
-
+
150200512143312 = 24314399371232051
BaseRepresentation
bin100010001001101101001000…
…001010111101111111010000
3201200211000202221110001110210
4202021231020022331333100
5124141341122102041222
61251241055051124120
743431425465641521
oct4211551012757720
9650730687401423
10150200512143312
11439497524272a4
1214a19a47743640
1365a6b03002467
142913a5a534848
1512570d7819d0c
hex889b482bdfd0

150200512143312 has 80 divisors (see below), whose sum is σ = 388330742384640. Its totient is φ = 50026489968000.

The previous prime is 150200512143239. The next prime is 150200512143313. The reversal of 150200512143312 is 213341215002051.

It is a happy number.

It is a super-2 number, since 2×1502005121433122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150200512143312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150200512143313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647157687 + ... + 647389737.

It is an arithmetic number, because the mean of its divisors is an integer number (4854134279808).

Almost surely, 2150200512143312 is an apocalyptic number.

150200512143312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150200512143312 is an abundant number, since it is smaller than the sum of its proper divisors (238130230241328).

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

150200512143312 is a wasteful number, since it uses less digits than its factorization.

150200512143312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242872 (or 242866 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 150200512143312 its reverse (213341215002051), we get a palindrome (363541727145363).

The spelling of 150200512143312 in words is "one hundred fifty trillion, two hundred billion, five hundred twelve million, one hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1439 2878 4317 5756 8634 9371 11512 17268 18742 23024 28113 34536 37484 56226 69072 74968 112452 149936 224904 232051 449808 464102 696153 928204 1392306 1856408 2784612 3712816 5569224 11138448 13484869 26969738 40454607 53939476 80909214 107878952 161818428 215757904 323636856 333921389 647273712 667842778 1001764167 1335685556 2003528334 2174549921 2671371112 4007056668 4349099842 5342742224 6523649763 8014113336 8698199684 13047299526 16028226672 17396399368 26094599052 34792798736 52189198104 104378396208 3129177336319 6258354672638 9387532008957 12516709345276 18775064017914 25033418690552 37550128035828 50066837381104 75100256071656 150200512143312