Search a number
-
+
4213153840 = 245735321313
BaseRepresentation
bin1111101100011111…
…1010000000110000
3101212121210101112211
43323013322000300
532112031410330
61534022301504
7206256134230
oct37307720060
911777711484
104213153840
111872240925
12996b87894
13521b32c4c
142bd79bcc0
15199d2bd2a
hexfb1fa030

4213153840 has 80 divisors (see below), whose sum is σ = 11227192128. Its totient is φ = 1440350208.

The previous prime is 4213153829. The next prime is 4213153873. The reversal of 4213153840 is 483513124.

4213153840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 187024 + ... + 208336.

Almost surely, 24213153840 is an apocalyptic number.

4213153840 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 4213153840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613596064).

4213153840 is an abundant number, since it is smaller than the sum of its proper divisors (7014038288).

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

4213153840 is a wasteful number, since it uses less digits than its factorization.

4213153840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21686 (or 21680 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 4213153840 is about 64908.8117284549. The cubic root of 4213153840 is about 1615.1112384919. Note that the first 3 decimals are identical.

Adding to 4213153840 its reverse (483513124), we get a palindrome (4696666964).

The spelling of 4213153840 in words is "four billion, two hundred thirteen million, one hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 353 560 706 1412 1765 2471 2824 3530 4942 5648 7060 9884 12355 14120 19768 21313 24710 28240 39536 42626 49420 85252 98840 106565 149191 170504 197680 213130 298382 341008 426260 596764 745955 852520 1193528 1491910 1705040 2387056 2983820 5967640 7523489 11935280 15046978 30093956 37617445 52664423 60187912 75234890 105328846 120375824 150469780 210657692 263322115 300939560 421315384 526644230 601879120 842630768 1053288460 2106576920 4213153840