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42130252400 = 2452313397601
BaseRepresentation
bin100111001111001010…
…001010001001110000
311000202010111120102112
4213033022022021300
51142240321034100
631204313304452
73021012144125
oct471712121160
9130663446375
1042130252400
111695a47a215
1281b9405128
133c85503242
14207949074c
151168a27b35
hex9cf28a270

42130252400 has 60 divisors (see below), whose sum is σ = 104483056704. Its totient is φ = 16308480000.

The previous prime is 42130252387. The next prime is 42130252429. The reversal of 42130252400 is 425203124.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1686401 + ... + 1711200.

Almost surely, 242130252400 is an apocalyptic number.

42130252400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42130252400 is an abundant number, since it is smaller than the sum of its proper divisors (62352804304).

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

42130252400 is a wasteful number, since it uses less digits than its factorization.

42130252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397650 (or 3397639 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 42130252400 its reverse (425203124), we get a palindrome (42555455524).

The spelling of 42130252400 in words is "forty-two billion, one hundred thirty million, two hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 3397601 6795202 13590404 16988005 27180808 33976010 54361616 67952020 84940025 105325631 135904040 169880050 210651262 271808080 339760100 421302524 526628155 679520200 842605048 1053256310 1359040400 1685210096 2106512620 2633140775 4213025240 5266281550 8426050480 10532563100 21065126200 42130252400