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12044231533314 = 2331719749992083
BaseRepresentation
bin1010111101000100010000…
…1001000110001100000010
31120122102021012111210202000
42233101010021012030002
53034313041233031224
641341013225204430
72352111166600101
oct257210411061402
946572235453660
1012044231533314
113923a25787512
121426304930716
136949c633b9c6
142d8d30170038
1515d4711650c9
hexaf444246302

12044231533314 has 128 divisors (see below), whose sum is σ = 29835216000000. Its totient is φ = 3579193453824.

The previous prime is 12044231533303. The next prime is 12044231533337. The reversal of 12044231533314 is 41333513244021.

12044231533314 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 4 + 2 + 315 + 3 + 331 + 4 = 666.

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, 130751517 + ... + 130843599.

It is an arithmetic number, because the mean of its divisors is an integer number (233087625000).

Almost surely, 212044231533314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12044231533314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14917608000000).

12044231533314 is an abundant number, since it is smaller than the sum of its proper divisors (17790984466686).

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

12044231533314 is a wasteful number, since it uses less digits than its factorization.

12044231533314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99629 (or 99623 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 12044231533314 its reverse (41333513244021), we get a palindrome (53377744777335).

The spelling of 12044231533314 in words is "twelve trillion, forty-four billion, two hundred thirty-one million, five hundred thirty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 646 918 969 1026 1938 2907 5814 7499 8721 14998 17442 22497 44994 67491 92083 127483 134982 142481 184166 202473 254966 276249 284962 382449 404946 427443 552498 764898 828747 854886 1147347 1282329 1565411 1657494 1749577 2294694 2422177 2486241 2564658 3130822 3442041 3499154 3846987 4696233 4844354 4972482 5248731 6884082 7266531 7693974 9392466 10497462 14088699 14533062 15746193 21799593 28177398 29742809 31492386 42266097 43599186 47238579 59485618 65398779 84532194 89228427 94477158 130797558 178456854 267685281 535370562 690530417 803055843 1381060834 1606111686 2071591251 4143182502 6214773753 11739017089 12429547506 13120077923 18644321259 23478034178 26240155846 35217051267 37288642518 39360233769 70434102534 78720467538 105651153801 118080701307 211302307602 223041324691 236161402614 316953461403 354242103921 446082649382 633906922806 669123974073 708484207842 1338247948146 2007371922219 4014743844438 6022115766657 12044231533314