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4010136440 = 235316015381
BaseRepresentation
bin1110111100000101…
…1101001101111000
3101100110210001000212
43233001131031320
531203043331230
61501531050252
7201242411612
oct35701351570
911313701025
104010136440
111778687952
1293aba0988
134bba603cb
142a0831db2
151870c8895
hexef05d378

4010136440 has 64 divisors (see below), whose sum is σ = 9331096320. Its totient is φ = 1549440000.

The previous prime is 4010136439. The next prime is 4010136469. The reversal of 4010136440 is 446310104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742550 + ... + 747930.

It is an arithmetic number, because the mean of its divisors is an integer number (145798380).

Almost surely, 24010136440 is an apocalyptic number.

4010136440 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 4010136440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665548160).

4010136440 is an abundant number, since it is smaller than the sum of its proper divisors (5320959880).

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

4010136440 is a wasteful number, since it uses less digits than its factorization.

4010136440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6024 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4010136440 is about 63325.6380939032. The cubic root of 4010136440 is about 1588.7408038717.

Adding to 4010136440 its reverse (446310104), we get a palindrome (4456446544).

The spelling of 4010136440 in words is "four billion, ten million, one hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 601 620 1202 1240 2404 3005 4808 5381 6010 10762 12020 18631 21524 24040 26905 37262 43048 53810 74524 93155 107620 149048 166811 186310 215240 333622 372620 667244 745240 834055 1334488 1668110 3233981 3336220 6467962 6672440 12935924 16169905 25871848 32339810 64679620 100253411 129359240 200506822 401013644 501267055 802027288 1002534110 2005068220 4010136440