Search a number
-
+
31435742115 = 3351491977933
BaseRepresentation
bin11101010001101101…
…110101101110100011
310000010210220011022000
4131101231311232203
51003340022221430
622235201015043
72162002253631
oct352155655643
9100123804260
1031435742115
1112371725368
126113924483
132c6c97934b
141742dc2351
15c3ebcde60
hex751b75ba3

31435742115 has 64 divisors (see below), whose sum is σ = 56553552000. Its totient is φ = 16566584832.

The previous prime is 31435742113. The next prime is 31435742147. The reversal of 31435742115 is 51124753413.

31435742115 is a `hidden beast` number, since 3 + 1 + 435 + 7 + 4 + 211 + 5 = 666.

It is not a de Polignac number, because 31435742115 - 21 = 31435742113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31435742115.

It is not an unprimeable number, because it can be changed into a prime (31435742111) 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, 3958689 + ... + 3966621.

It is an arithmetic number, because the mean of its divisors is an integer number (883649250).

Almost surely, 231435742115 is an apocalyptic number.

31435742115 is a deficient number, since it is larger than the sum of its proper divisors (25117809885).

31435742115 is a wasteful number, since it uses less digits than its factorization.

31435742115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8287 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The spelling of 31435742115 in words is "thirty-one billion, four hundred thirty-five million, seven hundred forty-two thousand, one hundred fifteen".

Divisors: 1 3 5 9 15 27 45 135 149 197 447 591 745 985 1341 1773 2235 2955 4023 5319 6705 7933 8865 20115 23799 26595 29353 39665 71397 88059 118995 146765 214191 264177 356985 440295 792531 1070955 1182017 1320885 1562801 3546051 3962655 4688403 5910085 7814005 10638153 14065209 17730255 23442015 31914459 42195627 53190765 70326045 159572295 210978135 232857349 698572047 1164286745 2095716141 3492860235 6287148423 10478580705 31435742115