Search a number
-
+
16144102120 = 2357111874789
BaseRepresentation
bin11110000100100001…
…10111001011101000
31112200002222100202011
433002100313023220
5231030342231440
611225544045304
71111031414056
oct170220671350
945602870664
1016144102120
116934a19963
123166763834
1316a389b763
14ad21631d6
156474ac9ea
hex3c24372e8

16144102120 has 64 divisors (see below), whose sum is σ = 36874569600. Its totient is φ = 6359996160.

The previous prime is 16144102111. The next prime is 16144102123. The reversal of 16144102120 is 2120144161.

It is a junction number, because it is equal to n+sod(n) for n = 16144102091 and 16144102100.

It is not an unprimeable number, because it can be changed into a prime (16144102123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3368686 + ... + 3373474.

It is an arithmetic number, because the mean of its divisors is an integer number (576165150).

Almost surely, 216144102120 is an apocalyptic number.

16144102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16144102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437284800).

16144102120 is an abundant number, since it is smaller than the sum of its proper divisors (20730467480).

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

16144102120 is a wasteful number, since it uses less digits than its factorization.

16144102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6054 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 16144102120 its reverse (2120144161), we get a palindrome (18264246281).

The spelling of 16144102120 in words is "sixteen billion, one hundred forty-four million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1187 1420 2374 2840 4748 4789 5935 9496 9578 11870 19156 23740 23945 38312 47480 47890 84277 95780 168554 191560 337108 340019 421385 674216 680038 842770 1360076 1685540 1700095 2720152 3371080 3400190 5684543 6800380 11369086 13600760 22738172 28422715 45476344 56845430 113690860 227381720 403602553 807205106 1614410212 2018012765 3228820424 4036025530 8072051060 16144102120