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4021414512 = 243594193389
BaseRepresentation
bin1110111110110001…
…1110101001110000
3101101021000000122020
43233230132221300
531213440231022
61503012511440
7201440313363
oct35754365160
911337000566
104021414512
111783a90275
1294291b580
134c11ab91b
142a212a0da
151880a535c
hexefb1ea70

4021414512 has 80 divisors (see below), whose sum is σ = 10593072000. Its totient is φ = 1314218752.

The previous prime is 4021414493. The next prime is 4021414531. The reversal of 4021414512 is 2154141204.

It is an interprime number because it is at equal distance from previous prime (4021414493) and next prime (4021414531).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1184914 + ... + 1188302.

It is an arithmetic number, because the mean of its divisors is an integer number (132413400).

Almost surely, 24021414512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021414512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296536000).

4021414512 is an abundant number, since it is smaller than the sum of its proper divisors (6571657488).

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

4021414512 is a wasteful number, since it uses less digits than its factorization.

4021414512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 4021414512 is about 63414.6238024007. The cubic root of 4021414512 is about 1590.2287966310.

Adding to 4021414512 its reverse (2154141204), we get a palindrome (6175555716).

The spelling of 4021414512 in words is "four billion, twenty-one million, four hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 419 472 708 838 944 1257 1416 1676 2514 2832 3352 3389 5028 6704 6778 10056 10167 13556 20112 20334 24721 27112 40668 49442 54224 74163 81336 98884 148326 162672 197768 199951 296652 395536 399902 593304 599853 799804 1186608 1199706 1419991 1599608 2399412 2839982 3199216 4259973 4798824 5679964 8519946 9597648 11359928 17039892 22719856 34079784 68159568 83779469 167558938 251338407 335117876 502676814 670235752 1005353628 1340471504 2010707256 4021414512