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1400430042 = 2321126311019
BaseRepresentation
bin101001101111000…
…1101110111011010
310121121011012212100
41103132031313122
510332002230132
6350544024230
746463313264
oct12336156732
93547135770
101400430042
11659562900
12331002076
1319419c43b
14d3dc4b34
1582e2c37c
hex5378ddda

1400430042 has 72 divisors (see below), whose sum is σ = 3343747680. Its totient is φ = 423284400.

The previous prime is 1400430037. The next prime is 1400430043. The reversal of 1400430042 is 2400340041.

It is a super-2 number, since 2×14004300422 = 3922408605072243528, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1400429997 and 1400430024.

It is not an unprimeable number, because it can be changed into a prime (1400430043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1373809 + ... + 1374827.

It is an arithmetic number, because the mean of its divisors is an integer number (46440940).

Almost surely, 21400430042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400430042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671873840).

1400430042 is an abundant number, since it is smaller than the sum of its proper divisors (1943317638).

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

1400430042 is a wasteful number, since it uses less digits than its factorization.

1400430042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1400430042 is about 37422.3201044510. The cubic root of 1400430042 is about 1118.8034739814.

Adding to 1400430042 its reverse (2400340041), we get a palindrome (3800770083).

Subtracting 1400430042 from its reverse (2400340041), we obtain a palindrome (999909999).

The spelling of 1400430042 in words is "one billion, four hundred million, four hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 631 726 1019 1089 1262 1893 2038 2178 3057 3786 5679 6114 6941 9171 11209 11358 13882 18342 20823 22418 33627 41646 62469 67254 76351 100881 123299 124938 152702 201762 229053 246598 369897 458106 642989 687159 739794 1109691 1285978 1374318 1928967 2219382 3857934 5786901 7072879 11573802 14145758 21218637 42437274 63655911 77801669 127311822 155603338 233405007 466810014 700215021 1400430042