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1431394992 = 2432293111057
BaseRepresentation
bin101010101010001…
…0101101010110000
310200202102101210100
41111110111222300
510412414114432
6354011432400
750320441146
oct12524255260
93622371710
101431394992
11674a92275
1233b455700
1319a7216b1
14d8165596
15859e707c
hex55515ab0

1431394992 has 120 divisors (see below), whose sum is σ = 4278119040. Its totient is φ = 445777920.

The previous prime is 1431394967. The next prime is 1431394997. The reversal of 1431394992 is 2994931341.

1431394992 is a `hidden beast` number, since 143 + 13 + 9 + 499 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1431394997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123928 + ... + 134984.

It is an arithmetic number, because the mean of its divisors is an integer number (35650992).

Almost surely, 21431394992 is an apocalyptic number.

1431394992 is a gapful number since it is divisible by the number (12) 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 1431394992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139059520).

1431394992 is an abundant number, since it is smaller than the sum of its proper divisors (2846724048).

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

1431394992 is a wasteful number, since it uses less digits than its factorization.

1431394992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11131 (or 11122 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 1431394992 is about 37833.7810957351. The cubic root of 1431394992 is about 1126.9893996647.

The spelling of 1431394992 in words is "one billion, four hundred thirty-one million, three hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 31 36 48 58 62 72 87 93 116 124 144 174 186 232 248 261 279 348 372 464 496 522 558 696 744 899 1044 1116 1392 1488 1798 2088 2232 2697 3596 4176 4464 5394 7192 8091 10788 11057 14384 16182 21576 22114 32364 33171 43152 44228 64728 66342 88456 99513 129456 132684 176912 199026 265368 320653 342767 398052 530736 641306 685534 796104 961959 1028301 1282612 1371068 1592208 1923918 2056602 2565224 2742136 2885877 3084903 3847836 4113204 5130448 5484272 5771754 6169806 7695672 8226408 9940243 11543508 12339612 15391344 16452816 19880486 23087016 24679224 29820729 39760972 46174032 49358448 59641458 79521944 89462187 119282916 159043888 178924374 238565832 357848748 477131664 715697496 1431394992