Search a number
-
+
4041213444 = 223531433119
BaseRepresentation
bin1111000011100000…
…0000011000000100
3101102122020220200000
43300320000120010
531234022312234
61505001121300
7202100514252
oct36070003004
911378226600
104041213444
111794183524
12949489230
134c5321678
142a4a015d2
15189bb6899
hexf0e00604

4041213444 has 144 divisors (see below), whose sum is σ = 11193262080. Its totient is φ = 1272892320.

The previous prime is 4041213443. The next prime is 4041213457. The reversal of 4041213444 is 4443121404.

4041213444 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 213 + 444 = 666.

It is a super-2 number, since 2×40412134442 = 32662812199932682272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4041213443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294117 + ... + 1297235.

Almost surely, 24041213444 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 4041213444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596631040).

4041213444 is an abundant number, since it is smaller than the sum of its proper divisors (7152048636).

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

4041213444 is a wasteful number, since it uses less digits than its factorization.

4041213444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4041213444 is about 63570.5391199414. The cubic root of 4041213444 is about 1592.8342896350.

Adding to 4041213444 its reverse (4443121404), we get a palindrome (8484334848).

The spelling of 4041213444 in words is "four billion, forty-one million, two hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 43 54 62 81 86 93 108 124 129 162 172 186 243 258 279 324 372 387 486 516 558 774 837 972 1116 1161 1333 1548 1674 2322 2511 2666 3119 3348 3483 3999 4644 5022 5332 6238 6966 7533 7998 9357 10044 10449 11997 12476 13932 15066 15996 18714 20898 23994 28071 30132 35991 37428 41796 47988 56142 71982 84213 96689 107973 112284 134117 143964 168426 193378 215946 252639 268234 290067 323919 336852 386756 402351 431892 505278 536468 580134 647838 757917 804702 870201 1010556 1160268 1207053 1295676 1515834 1609404 1740402 2414106 2610603 3031668 3480804 3621159 4157627 4828212 5221206 7242318 7831809 8315254 10442412 10863477 12472881 14484636 15663618 16630508 21726954 23495427 24945762 31327236 32590431 37418643 43453908 46990854 49891524 65180862 74837286 93981708 112255929 130361724 149674572 224511858 336767787 449023716 673535574 1010303361 1347071148 2020606722 4041213444