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114044004 = 223319149373
BaseRepresentation
bin1101100110000…
…10110001100100
321221121000222000
412303002301210
5213143402004
615152205300
72553233544
oct663026144
9257530860
10114044004
1159413a48
1232239830
131a81cc79
1411209324
15a02ac39
hex6cc2c64

114044004 has 96 divisors (see below), whose sum is σ = 314160000. Its totient is φ = 35676288.

The previous prime is 114043987. The next prime is 114044017. The reversal of 114044004 is 400440411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305562 + ... + 305934.

It is an arithmetic number, because the mean of its divisors is an integer number (3272500).

Almost surely, 2114044004 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 114044004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157080000).

114044004 is an abundant number, since it is smaller than the sum of its proper divisors (200115996).

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

114044004 is a wasteful number, since it uses less digits than its factorization.

114044004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 114044004 is about 10679.1387293171. The cubic root of 114044004 is about 484.9431385494.

Adding to 114044004 its reverse (400440411), we get a palindrome (514484415).

The spelling of 114044004 in words is "one hundred fourteen million, forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 149 171 228 298 342 373 447 513 596 684 746 894 1026 1119 1341 1492 1788 2052 2238 2682 2831 3357 4023 4476 5364 5662 6714 7087 8046 8493 10071 11324 13428 14174 16092 16986 20142 21261 25479 28348 33972 40284 42522 50958 55577 63783 76437 85044 101916 111154 127566 152874 166731 191349 222308 255132 305748 333462 382698 500193 666924 765396 1000386 1055963 1500579 2000772 2111926 3001158 3167889 4223852 6002316 6335778 9503667 12671556 19007334 28511001 38014668 57022002 114044004