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1114017440 = 25537918371
BaseRepresentation
bin100001001100110…
…1000111010100000
32212122012221122012
41002121220322200
54240142024230
6302313132052
736414664154
oct10231507240
92778187565
101114017440
11521919878
122710ba028
13149a4b023
14a7d4b064
1567c04395
hex42668ea0

1114017440 has 48 divisors (see below), whose sum is σ = 2638954080. Its totient is φ = 444407040.

The previous prime is 1114017427. The next prime is 1114017461. The reversal of 1114017440 is 447104111.

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, 51455 + ... + 69825.

It is an arithmetic number, because the mean of its divisors is an integer number (54978210).

Almost surely, 21114017440 is an apocalyptic number.

1114017440 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 1114017440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319477040).

1114017440 is an abundant number, since it is smaller than the sum of its proper divisors (1524936640).

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

1114017440 is a wasteful number, since it uses less digits than its factorization.

1114017440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18765 (or 18757 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 1114017440 is about 33376.8997961165. The cubic root of 1114017440 is about 1036.6464463729.

The spelling of 1114017440 in words is "one billion, one hundred fourteen million, seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 379 758 1516 1895 3032 3790 6064 7580 12128 15160 18371 30320 36742 60640 73484 91855 146968 183710 293936 367420 587872 734840 1469680 2939360 6962609 13925218 27850436 34813045 55700872 69626090 111401744 139252180 222803488 278504360 557008720 1114017440