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1144137040 = 24516785639
BaseRepresentation
bin100010000110010…
…0010010101010000
32221201220011221221
41010030202111100
54320344341130
6305310454424
740232001334
oct10414422520
92851804857
101144137040
11537921102
1227b204414
13153065587
14abd4b7c4
156a6a387a
hex44322550

1144137040 has 40 divisors (see below), whose sum is σ = 2676078720. Its totient is φ = 454909056.

The previous prime is 1144137037. The next prime is 1144137067. The reversal of 1144137040 is 407314411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1144136996 and 1144137014.

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, 29460 + ... + 56179.

It is an arithmetic number, because the mean of its divisors is an integer number (66901968).

Almost surely, 21144137040 is an apocalyptic number.

1144137040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144137040 is an abundant number, since it is smaller than the sum of its proper divisors (1531941680).

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

1144137040 is a wasteful number, since it uses less digits than its factorization.

1144137040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85819 (or 85813 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1144137040 is about 33825.0948261790. The cubic root of 1144137040 is about 1045.9060661187.

The spelling of 1144137040 in words is "one billion, one hundred forty-four million, one hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 13360 85639 171278 342556 428195 685112 856390 1370224 1712780 3425560 6851120 14301713 28603426 57206852 71508565 114413704 143017130 228827408 286034260 572068520 1144137040