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1114541440 = 27510191709
BaseRepresentation
bin100001001101110…
…1000110110000000
32212200012120102121
41002123220312000
54240310311230
6302332254024
736422305645
oct10233506600
92780176377
101114541440
11522147531
12271311314
13149ba269c
14a8045dcc
1567ca977a
hex426e8d80

1114541440 has 64 divisors (see below), whose sum is σ = 2668626000. Its totient is φ = 445118464.

The previous prime is 1114541423. The next prime is 1114541563. The reversal of 1114541440 is 441454111.

It is a tau number, because it is divible by the number of its divisors (64).

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, 651306 + ... + 653014.

Almost surely, 21114541440 is an apocalyptic number.

1114541440 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 1114541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334313000).

1114541440 is an abundant number, since it is smaller than the sum of its proper divisors (1554084560).

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

1114541440 is a wasteful number, since it uses less digits than its factorization.

1114541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 1114541440 is about 33384.7486137008. The cubic root of 1114541440 is about 1036.8089565730.

Adding to 1114541440 its reverse (441454111), we get a palindrome (1555995551).

The spelling of 1114541440 in words is "one billion, one hundred fourteen million, five hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1019 1709 2038 3418 4076 5095 6836 8152 8545 10190 13672 16304 17090 20380 27344 32608 34180 40760 54688 65216 68360 81520 109376 130432 136720 163040 218752 273440 326080 546880 652160 1093760 1741471 3482942 6965884 8707355 13931768 17414710 27863536 34829420 55727072 69658840 111454144 139317680 222908288 278635360 557270720 1114541440