Search a number
-
+
10341233144 = 2311177394693
BaseRepresentation
bin10011010000110001…
…01011000111111000
3222200200212001222222
421220120223013320
5132134323430034
64430052303212
7514160013524
oct115030530770
928620761888
1010341233144
1144273a1580
122007311b08
13c8a5c4188
147015cad84
15407d1412e
hex26862b1f8

10341233144 has 64 divisors (see below), whose sum is σ = 22703833440. Its totient is φ = 4363407360.

The previous prime is 10341233137. The next prime is 10341233197. The reversal of 10341233144 is 44133214301.

It is a happy number.

It is a super-2 number, since 2×103412331442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61862 + ... + 156554.

Almost surely, 210341233144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10341233144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11351916720).

10341233144 is an abundant number, since it is smaller than the sum of its proper divisors (12362600296).

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

10341233144 is a wasteful number, since it uses less digits than its factorization.

10341233144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94800 (or 94796 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10341233144 its reverse (44133214301), we get a palindrome (54474447445).

The spelling of 10341233144 in words is "ten billion, three hundred forty-one million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 73 88 136 146 187 292 374 584 748 803 1241 1496 1606 2482 3212 4964 6424 9928 13651 27302 54604 94693 109208 189386 378772 757544 1041623 1609781 2083246 3219562 4166492 6439124 6912589 8332984 12878248 13825178 17707591 27650356 35415182 55300712 70830364 76038479 117514013 141660728 152076958 235028026 304153916 470056052 608307832 940112104 1292654143 2585308286 5170616572 10341233144