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1114040144 = 24723218803
BaseRepresentation
bin100001001100110…
…1110011101010000
32212122021002210002
41002121232131100
54240143241034
6302313425132
736415120310
oct10231563520
92778232702
101114040144
11521934938
1227110b1a8
13149a58469
14a7d55440
1567c0ae7e
hex4266e750

1114040144 has 60 divisors (see below), whose sum is σ = 2578855776. Its totient is φ = 456662976.

The previous prime is 1114040131. The next prime is 1114040227. The reversal of 1114040144 is 4410404111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49847 + ... + 68649.

Almost surely, 21114040144 is an apocalyptic number.

1114040144 is a gapful number since it is divisible by the number (14) 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 1114040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289427888).

1114040144 is an abundant number, since it is smaller than the sum of its proper divisors (1464815632).

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

1114040144 is a wasteful number, since it uses less digits than its factorization.

1114040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18864 (or 18835 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1114040144 is about 33377.2399098547. The cubic root of 1114040144 is about 1036.6534887106.

Adding to 1114040144 its reverse (4410404111), we get a palindrome (5524444255).

The spelling of 1114040144 in words is "one billion, one hundred fourteen million, forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 529 644 1058 1288 2116 2576 3703 4232 7406 8464 14812 18803 29624 37606 59248 75212 131621 150424 263242 300848 432469 526484 864938 1052968 1729876 2105936 3027283 3459752 6054566 6919504 9946787 12109132 19893574 24218264 39787148 48436528 69627509 79574296 139255018 159148592 278510036 557020072 1114040144