Search a number
-
+
10114340424 = 2333723947657
BaseRepresentation
bin10010110101101110…
…01001011001001000
3222002212220201200220
421122313021121020
5131203232343144
64351345230040
7505433321646
oct113267113110
928085821626
1010114340424
114320310731
121b63332320
13c525b2326
146bd408196
153e2e46919
hex25adc9648

10114340424 has 64 divisors (see below), whose sum is σ = 26078457600. Its totient is φ = 3266532864.

The previous prime is 10114340419. The next prime is 10114340473. The reversal of 10114340424 is 42404341101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10114340394 and 10114340403.

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, 188404 + ... + 236060.

It is an arithmetic number, because the mean of its divisors is an integer number (407475900).

Almost surely, 210114340424 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 10114340424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13039228800).

10114340424 is an abundant number, since it is smaller than the sum of its proper divisors (15964117176).

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

10114340424 is a wasteful number, since it uses less digits than its factorization.

10114340424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47942 (or 47938 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10114340424 its reverse (42404341101), we get a palindrome (52518681525).

The spelling of 10114340424 in words is "ten billion, one hundred fourteen million, three hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 239 296 444 478 717 888 956 1434 1912 2868 5736 8843 17686 26529 35372 47657 53058 70744 95314 106116 142971 190628 212232 285942 381256 571884 1143768 1763309 3526618 5289927 7053236 10579854 11390023 14106472 21159708 22780046 34170069 42319416 45560092 68340138 91120184 136680276 273360552 421430851 842861702 1264292553 1685723404 2528585106 3371446808 5057170212 10114340424