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42402201400 = 23521321254503
BaseRepresentation
bin100111011111010111…
…100011111100111000
311001110002020000022201
4213133113203330320
51143314430421100
631251310155544
73030523523266
oct473727437470
9131402200281
1042402201400
1116a89a34559
1282744b2bb4
133cc995c200
1420a3641436
15118284536a
hex9df5e3f38

42402201400 has 72 divisors (see below), whose sum is σ = 106752017880. Its totient is φ = 15656184960.

The previous prime is 42402201389. The next prime is 42402201403. The reversal of 42402201400 is 410220424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42402201403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 593452 + ... + 661051.

It is an arithmetic number, because the mean of its divisors is an integer number (1482666915).

Almost surely, 242402201400 is an apocalyptic number.

42402201400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42402201400 is an abundant number, since it is smaller than the sum of its proper divisors (64349816480).

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

42402201400 is a wasteful number, since it uses less digits than its factorization.

42402201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254545 (or 1254523 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 42402201400 its reverse (410220424), we get a palindrome (42812421824).

The spelling of 42402201400 in words is "forty-two billion, four hundred two million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2600 3380 4225 6760 8450 16900 33800 1254503 2509006 5018012 6272515 10036024 12545030 16308539 25090060 31362575 32617078 50180120 62725150 65234156 81542695 125450300 130468312 163085390 212011007 250900600 326170780 407713475 424022014 652341560 815426950 848044028 1060055035 1630853900 1696088056 2120110070 3261707800 4240220140 5300275175 8480440280 10600550350 21201100700 42402201400