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42400245400 = 23521271669301
BaseRepresentation
bin100111011111010000…
…000110011010011000
311001102221112122012021
4213133100012122120
51143313430323100
631251200224224
73030501065542
oct473720063230
9131387478167
1042400245400
1116a88918a27
12827390b074
133cc9425b06
1420a3292692
1511825aaa1a
hex9df406698

42400245400 has 48 divisors (see below), whose sum is σ = 99356855040. Its totient is φ = 16826544000.

The previous prime is 42400245379. The next prime is 42400245421. The reversal of 42400245400 is 454200424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42400245379) and next prime (42400245421).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 809251 + ... + 860050.

It is an arithmetic number, because the mean of its divisors is an integer number (2069934480).

Almost surely, 242400245400 is an apocalyptic number.

42400245400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42400245400 is an abundant number, since it is smaller than the sum of its proper divisors (56956609640).

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

42400245400 is a wasteful number, since it uses less digits than its factorization.

42400245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669444 (or 1669435 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 42400245400 its reverse (454200424), we get a palindrome (42854445824).

It can be divided in two parts, 4240024 and 5400, that added together give a palindrome (4245424).

The spelling of 42400245400 in words is "forty-two billion, four hundred million, two hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 508 635 1016 1270 2540 3175 5080 6350 12700 25400 1669301 3338602 6677204 8346505 13354408 16693010 33386020 41732525 66772040 83465050 166930100 212001227 333860200 424002454 848004908 1060006135 1696009816 2120012270 4240024540 5300030675 8480049080 10600061350 21200122700 42400245400