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4023420040 = 235591819419
BaseRepresentation
bin1110111111010000…
…1000010010001000
3101101101202220201001
43233310020102020
531214443420130
61503123504344
7201463335403
oct35764102210
911341686631
104023420040
111785130032
129435280b4
134c1731723
142a24ccd3a
1518834e6ca
hexefd08488

4023420040 has 64 divisors (see below), whose sum is σ = 9257976000. Its totient is φ = 1573182720.

The previous prime is 4023420013. The next prime is 4023420047. The reversal of 4023420040 is 400243204.

It is not an unprimeable number, because it can be changed into a prime (4023420047) 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, 422451 + ... + 431869.

It is an arithmetic number, because the mean of its divisors is an integer number (144655875).

Almost surely, 24023420040 is an apocalyptic number.

4023420040 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 4023420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628988000).

4023420040 is an abundant number, since it is smaller than the sum of its proper divisors (5234555960).

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

4023420040 is a wasteful number, since it uses less digits than its factorization.

4023420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9670 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4023420040 is about 63430.4346508835. The cubic root of 4023420040 is about 1590.4931081349.

Adding to 4023420040 its reverse (400243204), we get a palindrome (4423663244).

The spelling of 4023420040 in words is "four billion, twenty-three million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 181 236 295 362 472 590 724 905 1180 1448 1810 2360 3620 7240 9419 10679 18838 21358 37676 42716 47095 53395 75352 85432 94190 106790 188380 213580 376760 427160 555721 1111442 1704839 2222884 2778605 3409678 4445768 5557210 6819356 8524195 11114420 13638712 17048390 22228840 34096780 68193560 100585501 201171002 402342004 502927505 804684008 1005855010 2011710020 4023420040