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42434402000 = 245323922487
BaseRepresentation
bin100111100001010010…
…011001011011010000
311001112022210222020112
4213201102121123100
51143401201331000
631254420300452
73031364315504
oct474122313320
9131468728215
1042434402000
1116aa6128321
128283241728
134003524a13
1420a7a24304
1511855a6235
hex9e14996d0

42434402000 has 80 divisors (see below), whose sum is σ = 107067647232. Its totient is φ = 16235753600.

The previous prime is 42434401993. The next prime is 42434402009. The reversal of 42434402000 is 20443424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42434402009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415244 + ... + 507243.

Almost surely, 242434402000 is an apocalyptic number.

42434402000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42434402000 is an abundant number, since it is smaller than the sum of its proper divisors (64633245232).

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

42434402000 is a wasteful number, since it uses less digits than its factorization.

42434402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922533 (or 922517 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 42434402000 its reverse (20443424), we get a palindrome (42454845424).

The spelling of 42434402000 in words is "forty-two billion, four hundred thirty-four million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 922487 1844974 3689948 4612435 7379896 9224870 14759792 18449740 21217201 23062175 36899480 42434402 46124350 73798960 84868804 92248700 106086005 115310875 169737608 184497400 212172010 230621750 339475216 368994800 424344020 461243500 530430025 848688040 922487000 1060860050 1697376080 1844974000 2121720100 2652150125 4243440200 5304300250 8486880400 10608600500 21217201000 42434402000