Search a number
-
+
3143503270128 = 2431313736771281
BaseRepresentation
bin101101101111100111011…
…001010101000011110000
3102010111221010222201100210
4231233213121111003300
5403000343314121003
610404034440344120
7443052640632654
oct55574731250360
912114833881323
103143503270128
111002174710591
12429294a75040
1319a57b134ab0
14ac2098d4a64
1556b82cbb503
hex2dbe76550f0

3143503270128 has 80 divisors (see below), whose sum is σ = 8809222486176. Its totient is φ = 960171663360.

The previous prime is 3143503270121. The next prime is 3143503270153. The reversal of 3143503270128 is 8210723053413.

It is a super-2 number, since 2×31435032701282 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143503270121) 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, 18300153 + ... + 18471128.

Almost surely, 23143503270128 is an apocalyptic number.

It is an amenable number.

3143503270128 is an abundant number, since it is smaller than the sum of its proper divisors (5665719216048).

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

3143503270128 is a wasteful number, since it uses less digits than its factorization.

3143503270128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36771442 (or 36771436 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 3143503270128 in words is "three trillion, one hundred forty-three billion, five hundred three million, two hundred seventy thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 137 156 208 274 312 411 548 624 822 1096 1644 1781 2192 3288 3562 5343 6576 7124 10686 14248 21372 28496 42744 85488 36771281 73542562 110313843 147085124 220627686 294170248 441255372 478026653 588340496 882510744 956053306 1434079959 1765021488 1912106612 2868159918 3824213224 5037665497 5736319836 7648426448 10075330994 11472639672 15112996491 20150661988 22945279344 30225992982 40301323976 60451985964 65489651461 80602647952 120903971928 130979302922 196468954383 241807943856 261958605844 392937908766 523917211688 785875817532 1047834423376 1571751635064 3143503270128