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114031104 = 2931117397
BaseRepresentation
bin1101100101111…
…11101000000000
321221120101021020
412302333220000
5213142443404
615152025440
72553151125
oct662775000
9257511236
10114031104
1159405290
1232232280
131a817135
141120474c
15a026ed9
hex6cbfa00

114031104 has 160 divisors (see below), whose sum is σ = 351781056. Its totient is φ = 32440320.

The previous prime is 114031081. The next prime is 114031117. The reversal of 114031104 is 401130411.

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, 287034 + ... + 287430.

Almost surely, 2114031104 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 114031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175890528).

114031104 is an abundant number, since it is smaller than the sum of its proper divisors (237749952).

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

114031104 is a wasteful number, since it uses less digits than its factorization.

114031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 114031104 is about 10678.5347309451. The cubic root of 114031104 is about 484.9248532029.

Adding to 114031104 its reverse (401130411), we get a palindrome (515161515).

The spelling of 114031104 in words is "one hundred fourteen million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 397 408 512 528 544 561 704 748 768 794 816 1056 1088 1122 1191 1408 1496 1536 1588 1632 2112 2176 2244 2382 2816 2992 3176 3264 4224 4352 4367 4488 4764 5632 5984 6352 6528 6749 8448 8704 8734 8976 9528 11968 12704 13056 13101 13498 16896 17468 17952 19056 20247 23936 25408 26112 26202 26996 34936 35904 38112 40494 47872 50816 52404 53992 69872 71808 74239 76224 80988 95744 101632 104808 107984 139744 143616 148478 152448 161976 203264 209616 215968 222717 279488 287232 296956 304896 323952 419232 431936 445434 558976 593912 609792 647904 838464 863872 890868 1117952 1187824 1295808 1676928 1727744 1781736 2235904 2375648 2591616 3353856 3455488 3563472 4751296 5183232 6707712 7126944 9502592 10366464 14253888 19005184 28507776 38010368 57015552 114031104