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114450440 = 23513892473
BaseRepresentation
bin1101101001001…
…10000000001000
321222100200111012
412310212000020
5213244403230
615205023052
72556545516
oct664460010
9258320435
10114450440
1159671345
12323b4a88
131a932c70
14112b34b6
15a0ab395
hex6d26008

114450440 has 64 divisors (see below), whose sum is σ = 280551600. Its totient is φ = 41766912.

The previous prime is 114450437. The next prime is 114450487. The reversal of 114450440 is 44054411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24542116 + 89908324 = 4954^2 + 9482^2 .

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, 45044 + ... + 47516.

Almost surely, 2114450440 is an apocalyptic number.

114450440 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 114450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140275800).

114450440 is an abundant number, since it is smaller than the sum of its proper divisors (166101160).

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

114450440 is a wasteful number, since it uses less digits than its factorization.

114450440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 114450440 is about 10698.1512421539. The cubic root of 114450440 is about 485.5185441294.

The spelling of 114450440 in words is "one hundred fourteen million, four hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 130 178 260 356 445 520 712 890 1157 1780 2314 2473 3560 4628 4946 5785 9256 9892 11570 12365 19784 23140 24730 32149 46280 49460 64298 98920 128596 160745 220097 257192 321490 440194 642980 880388 1100485 1285960 1760776 2200970 2861261 4401940 5722522 8803880 11445044 14306305 22890088 28612610 57225220 114450440