Search a number
-
+
20234114040 = 2335724088231
BaseRepresentation
bin10010110110000011…
…000001001111111000
31221020011001111100010
4102312003001033320
5312414413122130
613143451141520
71314264063060
oct226603011770
957204044303
1020234114040
1186436a23a8
123b084448a0
131ba604765a
14d9d4283a0
157d65b30b0
hex4b60c13f8

20234114040 has 64 divisors (see below), whose sum is σ = 69374108160. Its totient is φ = 4624940160.

The previous prime is 20234114023. The next prime is 20234114041. The reversal of 20234114040 is 4041143202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20234113998 and 20234114016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20234114041) 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, 12043276 + ... + 12044955.

It is an arithmetic number, because the mean of its divisors is an integer number (1083970440).

Almost surely, 220234114040 is an apocalyptic number.

20234114040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20234114040 is an abundant number, since it is smaller than the sum of its proper divisors (49139994120).

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

20234114040 is a wasteful number, since it uses less digits than its factorization.

20234114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24088252 (or 24088248 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20234114040 its reverse (4041143202), we get a palindrome (24275257242).

The spelling of 20234114040 in words is "twenty billion, two hundred thirty-four million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 24088231 48176462 72264693 96352924 120441155 144529386 168617617 192705848 240882310 289058772 337235234 361323465 481764620 505852851 578117544 674470468 722646930 843088085 963529240 1011705702 1348940936 1445293860 1686176170 2023411404 2529264255 2890587720 3372352340 4046822808 5058528510 6744704680 10117057020 20234114040