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114962442 = 23741101661
BaseRepresentation
bin1101101101000…
…11000000001010
322000022200211020
412312203000022
5213412244232
615224013310
72564110320
oct666430012
9260280736
10114962442
1159990a91
1232601236
131aa8201a
14113a7d10
15a15ce2c
hex6da300a

114962442 has 64 divisors (see below), whose sum is σ = 272256768. Its totient is φ = 31680000.

The previous prime is 114962431. The next prime is 114962447. The reversal of 114962442 is 244269411.

It is not an unprimeable number, because it can be changed into a prime (114962447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173592 + ... + 174252.

It is an arithmetic number, because the mean of its divisors is an integer number (4254012).

Almost surely, 2114962442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114962442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136128384).

114962442 is an abundant number, since it is smaller than the sum of its proper divisors (157294326).

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

114962442 is a wasteful number, since it uses less digits than its factorization.

114962442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815.

The product of its digits is 13824, while the sum is 33.

The square root of 114962442 is about 10722.0540009832. The cubic root of 114962442 is about 486.2414675029.

The spelling of 114962442 in words is "one hundred fourteen million, nine hundred sixty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 101 123 202 246 287 303 574 606 661 707 861 1322 1414 1722 1983 2121 3966 4141 4242 4627 8282 9254 12423 13881 24846 27101 27762 28987 54202 57974 66761 81303 86961 133522 162606 173922 189707 200283 379414 400566 467327 569121 934654 1138242 1401981 2737201 2803962 5474402 8211603 16423206 19160407 38320814 57481221 114962442