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11014432330350 = 2352473923398249
BaseRepresentation
bin1010000001000111111101…
…0100111001001001101110
31102222222011201122000122010
42200101333110321021232
52420430024134032400
635231543234302050
72214523621026231
oct240217724711156
942888151560563
1011014432330350
1135672159a5359
12129a807127926
1361b86c4840b7
142a115c22b418
1514179d73a450
hexa047f53926e

11014432330350 has 96 divisors (see below), whose sum is σ = 27904160448000. Its totient is φ = 2873948727040.

The previous prime is 11014432330327. The next prime is 11014432330381. The reversal of 11014432330350 is 5303323441011.

It is a happy number.

11014432330350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×110144323303504 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27458026 + ... + 27856274.

It is an arithmetic number, because the mean of its divisors is an integer number (290668338000).

Almost surely, 211014432330350 is an apocalyptic number.

11014432330350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014432330350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952080224000).

11014432330350 is an abundant number, since it is smaller than the sum of its proper divisors (16889728117650).

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

11014432330350 is a wasteful number, since it uses less digits than its factorization.

11014432330350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402234 (or 402229 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 11014432330350 its reverse (5303323441011), we get a palindrome (16317755771361).

The spelling of 11014432330350 in words is "eleven trillion, fourteen billion, four hundred thirty-two million, three hundred thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2350 3525 3923 7050 7846 11769 19615 23538 39230 58845 98075 117690 184381 196150 294225 368762 398249 553143 588450 796498 921905 1106286 1194747 1843810 1991245 2389494 2765715 3982490 4609525 5531430 5973735 9219050 9956225 11947470 13828575 18717703 19912450 27657150 29868675 37435406 56153109 59737350 93588515 112306218 187177030 280765545 467942575 561531090 935885150 1403827725 1562330827 2807655450 3124661654 4686992481 7811654135 9373984962 15623308270 23434962405 39058270675 46869924810 73429548869 78116541350 117174812025 146859097738 220288646607 234349624050 367147744345 440577293214 734295488690 1101443233035 1835738721725 2202886466070 3671477443450 5507216165175 11014432330350