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1014334112 = 2511101103277
BaseRepresentation
bin111100011101011…
…000001010100000
32121200122111211002
4330131120022200
54034132142422
6244352411132
734064461211
oct7435301240
92550574732
101014334112
11480624260
12243846aa8
131321b86cc
14989dd408
155e0b3692
hex3c7582a0

1014334112 has 96 divisors (see below), whose sum is σ = 2229462144. Its totient is φ = 450432000.

The previous prime is 1014334093. The next prime is 1014334129. The reversal of 1014334112 is 2114334101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3661718 + ... + 3661994.

It is an arithmetic number, because the mean of its divisors is an integer number (23223564).

Almost surely, 21014334112 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 1014334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114731072).

1014334112 is an abundant number, since it is smaller than the sum of its proper divisors (1215128032).

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

1014334112 is a wasteful number, since it uses less digits than its factorization.

1014334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1014334112 is about 31848.6124030545. The cubic root of 1014334112 is about 1004.7553877748.

Adding to 1014334112 its reverse (2114334101), we get a palindrome (3128668213).

The spelling of 1014334112 in words is "one billion, fourteen million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 103 176 202 206 277 352 404 412 554 808 824 1108 1111 1133 1616 1648 2216 2222 2266 3047 3232 3296 4432 4444 4532 6094 8864 8888 9064 10403 12188 17776 18128 20806 24376 27977 28531 35552 36256 41612 48752 55954 57062 83224 97504 111908 114124 114433 166448 223816 228248 228866 307747 313841 332896 447632 456496 457732 615494 627682 895264 912992 915464 1230988 1255364 1830928 2461976 2510728 2881631 3661856 4923952 5021456 5763262 9847904 10042912 11526524 23053048 31697941 46106096 63395882 92212192 126791764 253583528 507167056 1014334112