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42142425400 = 23521727914441
BaseRepresentation
bin100111001111111000…
…100110000100111000
311000202222102000122101
4213033320212010320
51142301430103100
631205430233144
73021220463665
oct471770460470
9130688360571
1042142425400
1116966333a49
1282014b57b4
133c87ba5bba
14207ad3ca6c
151169b2e86a
hex9cfe26138

42142425400 has 96 divisors (see below), whose sum is σ = 103805275680. Its totient is φ = 15856128000.

The previous prime is 42142425397. The next prime is 42142425419. The reversal of 42142425400 is 452424124.

42142425400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9487180 + ... + 9491620.

It is an arithmetic number, because the mean of its divisors is an integer number (1081304955).

Almost surely, 242142425400 is an apocalyptic number.

42142425400 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 42142425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51902637840).

42142425400 is an abundant number, since it is smaller than the sum of its proper divisors (61662850280).

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

42142425400 is a wasteful number, since it uses less digits than its factorization.

42142425400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265 (or 7256 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 42142425400 its reverse (452424124), we get a palindrome (42594849524).

The spelling of 42142425400 in words is "forty-two billion, one hundred forty-two million, four hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 2791 3400 4441 5582 8882 11164 13955 17764 22205 22328 27910 35528 44410 47447 55820 69775 75497 88820 94894 111025 111640 139550 150994 177640 189788 222050 237235 279100 301988 377485 379576 444100 474470 558200 603976 754970 888200 948940 1186175 1509940 1887425 1897880 2372350 3019880 3774850 4744700 7549700 9489400 12394831 15099400 24789662 49579324 61974155 99158648 123948310 210712127 247896620 309870775 421424254 495793240 619741550 842848508 1053560635 1239483100 1685697016 2107121270 2478966200 4214242540 5267803175 8428485080 10535606350 21071212700 42142425400