Search a number
-
+
353403145314 = 23443431117709
BaseRepresentation
bin1010010010010000111…
…10000000110001100010
31020210012021100220010000
411021020132000301202
521242232201122224
6430203503520430
734350442112502
oct5111036006142
91223167326100
10353403145314
1112697195383a
12585a9bb9116
1327430955c8b
141316781ba02
1592d5bcd0c9
hex5248780c62

353403145314 has 80 divisors (see below), whose sum is σ = 812187699840. Its totient is φ = 114793549920.

The previous prime is 353403145309. The next prime is 353403145349. The reversal of 353403145314 is 413541304353.

353403145314 is a `hidden beast` number, since 3 + 53 + 40 + 31 + 4 + 531 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2943492 + ... + 3061200.

It is an arithmetic number, because the mean of its divisors is an integer number (10152346248).

Almost surely, 2353403145314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353403145314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406093849920).

353403145314 is an abundant number, since it is smaller than the sum of its proper divisors (458784554526).

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

353403145314 is a wasteful number, since it uses less digits than its factorization.

353403145314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118197 (or 118188 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 353403145314 its reverse (413541304353), we get a palindrome (766944449667).

The spelling of 353403145314 in words is "three hundred fifty-three billion, four hundred three million, one hundred forty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 431 774 862 1161 1293 2322 2586 3483 3879 6966 7758 11637 18533 23274 34911 37066 55599 69822 111198 117709 166797 235418 333594 353127 500391 706254 1000782 1059381 1501173 2118762 3002346 3178143 5061487 6356286 9534429 10122974 15184461 19068858 30368922 45553383 50732579 91106766 101465158 136660149 152197737 273320298 304395474 409980447 456593211 819960894 913186422 1369779633 2181500897 2739559266 4109338899 4363001794 6544502691 8218677798 13089005382 19633508073 39267016146 58900524219 117801048438 176701572657 353403145314