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114002400440 = 2357936076709
BaseRepresentation
bin110101000101100010…
…0101001010010111000
3101220021000121222121102
41222023010221102320
53331434103303230
6124212203030532
711144041262255
oct1521304512270
9356230558542
10114002400440
1144391423875
121a11720b448
13a99a77c0a6
1457369a042c
152e73694045
hex1a8b1294b8

114002400440 has 32 divisors (see below), whose sum is σ = 259752312000. Its totient is φ = 45023731584.

The previous prime is 114002400437. The next prime is 114002400493. The reversal of 114002400440 is 44004200411.

It is a happy number.

It is a super-2 number, since 2×1140024004402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18035195 + ... + 18041514.

It is an arithmetic number, because the mean of its divisors is an integer number (8117259750).

Almost surely, 2114002400440 is an apocalyptic number.

114002400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114002400440 is an abundant number, since it is smaller than the sum of its proper divisors (145749911560).

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

114002400440 is a wasteful number, since it uses less digits than its factorization.

114002400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36076799 (or 36076795 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 114002400440 its reverse (44004200411), we get a palindrome (158006600851).

The spelling of 114002400440 in words is "one hundred fourteen billion, two million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 36076709 72153418 144306836 180383545 288613672 360767090 721534180 1443068360 2850060011 5700120022 11400240044 14250300055 22800480088 28500600110 57001200220 114002400440