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41434002252 = 2234473138693
BaseRepresentation
bin100110100101101010…
…001011001101001100
310221221121101101210000
4212211222023031030
51134324101033002
631011242244300
72664526131246
oct464552131514
9127847341700
1041434002252
1116632461175
1280441b6690
133ba41a78c6
142010c11096
15112784661c
hex9a5a8b34c

41434002252 has 120 divisors (see below), whose sum is σ = 110987464896. Its totient is φ = 13472739072.

The previous prime is 41434002251. The next prime is 41434002359. The reversal of 41434002252 is 25220043414.

41434002252 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 400 + 2 + 252 = 666.

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 (41434002251) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 4762018 + ... + 4770710.

Almost surely, 241434002252 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 41434002252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55493732448).

41434002252 is an abundant number, since it is smaller than the sum of its proper divisors (69553462644).

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

41434002252 is a wasteful number, since it uses less digits than its factorization.

41434002252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 41434002252 its reverse (25220043414), we get a palindrome (66654045666).

The spelling of 41434002252 in words is "forty-one billion, four hundred thirty-four million, two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 313 324 423 564 626 846 939 1252 1269 1692 1878 2538 2817 3756 3807 5076 5634 7614 8451 8693 11268 14711 15228 16902 17386 25353 26079 29422 33804 34772 44133 50706 52158 58844 78237 88266 101412 104316 132399 156474 176532 234711 264798 312948 397197 408571 469422 529596 704133 794394 817142 938844 1191591 1225713 1408266 1588788 1634284 2383182 2451426 2720909 2816532 3677139 4766364 4902852 5441818 7354278 8162727 10883636 11031417 14708556 16325454 22062834 24488181 32650908 33094251 44125668 48976362 66188502 73464543 97952724 127882723 132377004 146929086 220393629 255765446 293858172 383648169 440787258 511530892 767296338 881574516 1150944507 1534592676 2301889014 3452833521 4603778028 6905667042 10358500563 13811334084 20717001126 41434002252