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4213410040 = 235724349993
BaseRepresentation
bin1111101100100011…
…1000100011111000
3101212122021101222201
43323020320203320
532112113110130
61534031555544
7206261252200
oct37310704370
911778241881
104213410040
1118723a6364
1299708bbb4
13521bc2748
142bd827400
15199d7cbca
hexfb2388f8

4213410040 has 96 divisors (see below), whose sum is σ = 11284645680. Its totient is φ = 1410974208.

The previous prime is 4213410023. The next prime is 4213410073. The reversal of 4213410040 is 400143124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59284 + ... + 109276.

Almost surely, 24213410040 is an apocalyptic number.

4213410040 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 4213410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642322840).

4213410040 is an abundant number, since it is smaller than the sum of its proper divisors (7071235640).

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

4213410040 is a wasteful number, since it uses less digits than its factorization.

4213410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50061 (or 50050 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4213410040 is about 64910.7852363534. The cubic root of 4213410040 is about 1615.1439758923.

Adding to 4213410040 its reverse (400143124), we get a palindrome (4613553164).

The spelling of 4213410040 in words is "four billion, two hundred thirteen million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 49 56 70 86 98 140 172 196 215 245 280 301 344 392 430 490 602 860 980 1204 1505 1720 1960 2107 2408 3010 4214 6020 8428 10535 12040 16856 21070 42140 49993 84280 99986 199972 249965 349951 399944 499930 699902 999860 1399804 1749755 1999720 2149699 2449657 2799608 3499510 4299398 4899314 6999020 8598796 9798628 10748495 12248285 13998040 15047893 17197592 19597256 21496990 24496570 30095786 42993980 48993140 60191572 75239465 85987960 97986280 105335251 120383144 150478930 210670502 300957860 421341004 526676255 601915720 842682008 1053352510 2106705020 4213410040