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42020061400 = 23528313918211
BaseRepresentation
bin100111001000100101…
…110100000011011000
311000110110011021210101
4213020211310003120
51142024113431100
631145335425144
73015203425432
oct471045640330
9130413137711
1042020061400
1116903258079
1281885251b4
133c68731c75
1420689a9652
15115e00d86a
hex9c89740d8

42020061400 has 96 divisors (see below), whose sum is σ = 99590500800. Its totient is φ = 16485148800.

The previous prime is 42020061397. The next prime is 42020061403. The reversal of 42020061400 is 416002024.

It is an interprime number because it is at equal distance from previous prime (42020061397) and next prime (42020061403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42020061403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2298295 + ... + 2316505.

It is an arithmetic number, because the mean of its divisors is an integer number (1037401050).

Almost surely, 242020061400 is an apocalyptic number.

42020061400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42020061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795250400).

42020061400 is an abundant number, since it is smaller than the sum of its proper divisors (57570439400).

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

42020061400 is a wasteful number, since it uses less digits than its factorization.

42020061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18449 (or 18440 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 42020061400 its reverse (416002024), we get a palindrome (42436063424).

The spelling of 42020061400 in words is "forty-two billion, twenty million, sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 139 166 200 278 332 415 556 664 695 830 1112 1390 1660 2075 2780 3320 3475 4150 5560 6950 8300 11537 13900 16600 18211 23074 27800 36422 46148 57685 72844 91055 92296 115370 145688 182110 230740 288425 364220 455275 461480 576850 728440 910550 1153700 1511513 1821100 2307400 2531329 3023026 3642200 5062658 6046052 7557565 10125316 12092104 12656645 15115130 20250632 25313290 30230260 37787825 50626580 60460520 63283225 75575650 101253160 126566450 151151300 210100307 253132900 302302600 420200614 506265800 840401228 1050501535 1680802456 2101003070 4202006140 5252507675 8404012280 10505015350 21010030700 42020061400