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244346764134 = 231141473375701
BaseRepresentation
bin1110001110010000110…
…0111011101101100110
3212100200221112201102010
43203210030323231212
513000410232423014
6304130143055050
723440066140354
oct3434414735546
9770627481363
10244346764134
11946994184a0
123b4332a1486
131a070ab5505
14bb7daaa7d4
15655187b359
hex38e433bb66

244346764134 has 128 divisors (see below), whose sum is σ = 559495931904. Its totient is φ = 70479360000.

The previous prime is 244346764121. The next prime is 244346764153. The reversal of 244346764134 is 431467643442.

244346764134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2443467641342 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42857484 + ... + 42863184.

It is an arithmetic number, because the mean of its divisors is an integer number (4371061968).

Almost surely, 2244346764134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244346764134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279747965952).

244346764134 is an abundant number, since it is smaller than the sum of its proper divisors (315149167770).

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

244346764134 is a wasteful number, since it uses less digits than its factorization.

244346764134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142.

The product of its digits is 4644864, while the sum is 48.

The spelling of 244346764134 in words is "two hundred forty-four billion, three hundred forty-six million, seven hundred sixty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 41 47 66 82 94 123 141 246 282 337 451 517 674 902 1011 1034 1353 1551 1927 2022 2706 3102 3707 3854 5701 5781 7414 11121 11402 11562 13817 15839 17103 21197 22242 27634 31678 34206 41451 42394 47517 62711 63591 82902 95034 125422 127182 151987 174229 188133 233741 267947 303974 348458 376266 455961 467482 522687 535894 649399 701223 803841 911922 1045374 1298798 1402446 1607682 1921237 1948197 2571151 2947417 3842474 3896394 5142302 5763711 5894834 7143389 7713453 8842251 10985827 11527422 14286778 15426906 17684502 21133607 21430167 21971654 32957481 42267214 42860334 63400821 65914962 78770717 90298139 120844097 126801642 157541434 180596278 236312151 241688194 270894417 362532291 472624302 541788834 725064582 866477887 993279529 1732955774 1986559058 2599433661 2979838587 3702223699 5198867322 5959677174 7404447398 11106671097 22213342194 40724460689 81448921378 122173382067 244346764134