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1410400242 = 233318310151
BaseRepresentation
bin101010000010000…
…1111111111110010
310122021220202102000
41110010033333302
510342030301432
6351541434430
746644130026
oct12404177762
93567822360
101410400242
11664152639
1233440ba16
13196280574
14d545c386
1583c4b57c
hex5410fff2

1410400242 has 64 divisors (see below), whose sum is σ = 3274629120. Its totient is φ = 449442000.

The previous prime is 1410400241. The next prime is 1410400247. The reversal of 1410400242 is 2420040141.

1410400242 is a `hidden beast` number, since 14 + 10 + 400 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1410400241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133867 + ... + 144017.

It is an arithmetic number, because the mean of its divisors is an integer number (51166080).

Almost surely, 21410400242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410400242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637314560).

1410400242 is an abundant number, since it is smaller than the sum of its proper divisors (1864228878).

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

1410400242 is a wasteful number, since it uses less digits than its factorization.

1410400242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10276 (or 10270 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1410400242 is about 37555.2957916723. The cubic root of 1410400242 is about 1121.4522620320.

Adding to 1410400242 its reverse (2420040141), we get a palindrome (3830440383).

The spelling of 1410400242 in words is "one billion, four hundred ten million, four hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 83 93 166 186 249 279 498 558 747 837 1494 1674 2241 2573 4482 5146 7719 10151 15438 20302 23157 30453 46314 60906 69471 91359 138942 182718 274077 314681 548154 629362 842533 944043 1685066 1888086 2527599 2832129 5055198 5664258 7582797 8496387 15165594 16992774 22748391 26118523 45496782 52237046 78355569 156711138 235066707 470133414 705200121 1410400242