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1142504040 = 2335175310567
BaseRepresentation
bin100010000011001…
…0011101001101000
32221121211012220110
41010012103221220
54314440112130
6305211454320
740212060366
oct10406235150
92847735813
101142504040
11536a06217
1227a7573a0
131529131c2
14aba44636
156a47eab0
hex44193a68

1142504040 has 128 divisors (see below), whose sum is σ = 3697954560. Its totient is φ = 281309184.

The previous prime is 1142504017. The next prime is 1142504081. The reversal of 1142504040 is 404052411.

It is a happy number.

1142504040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1142503998 and 1142504016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102837 + ... + 113403.

It is an arithmetic number, because the mean of its divisors is an integer number (28890270).

Almost surely, 21142504040 is an apocalyptic number.

1142504040 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 1142504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848977280).

1142504040 is an abundant number, since it is smaller than the sum of its proper divisors (2555450520).

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

1142504040 is a wasteful number, since it uses less digits than its factorization.

1142504040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10651 (or 10647 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1142504040 is about 33800.9473240026. The cubic root of 1142504040 is about 1045.4082301164.

Adding to 1142504040 its reverse (404052411), we get a palindrome (1546556451).

The spelling of 1142504040 in words is "one billion, one hundred forty-two million, five hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 53 60 68 85 102 106 120 136 159 170 204 212 255 265 318 340 408 424 510 530 636 680 795 901 1020 1060 1272 1590 1802 2040 2120 2703 3180 3604 4505 5406 6360 7208 9010 10567 10812 13515 18020 21134 21624 27030 31701 36040 42268 52835 54060 63402 84536 105670 108120 126804 158505 179639 211340 253608 317010 359278 422680 538917 560051 634020 718556 898195 1077834 1120102 1268040 1437112 1680153 1796390 2155668 2240204 2694585 2800255 3360306 3592780 4311336 4480408 5389170 5600510 6720612 7185560 8400765 9520867 10778340 11201020 13441224 16801530 19041734 21556680 22402040 28562601 33603060 38083468 47604335 57125202 67206120 76166936 95208670 114250404 142813005 190417340 228500808 285626010 380834680 571252020 1142504040