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241153001334 = 23374713819829
BaseRepresentation
bin1110000010010111010…
…1101100011101110110
3212001110100220202111000
43200211311230131312
512422340132020314
6302441213424130
723264665455510
oct3404565543566
9761410822430
10241153001334
11932aa645203
123a8a179b046
131998221b93b
14b959866bb0
1564162b1209
hex3825d6c776

241153001334 has 128 divisors (see below), whose sum is σ = 625999564800. Its totient is φ = 67379195520.

The previous prime is 241153001329. The next prime is 241153001357. The reversal of 241153001334 is 433100351142.

It is a happy number.

241153001334 is a `hidden beast` number, since 24 + 1 + 1 + 5 + 300 + 1 + 334 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 241153001298 and 241153001307.

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, 24529932 + ... + 24539760.

It is an arithmetic number, because the mean of its divisors is an integer number (4890621600).

Almost surely, 2241153001334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241153001334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312999782400).

241153001334 is an abundant number, since it is smaller than the sum of its proper divisors (384846563466).

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

241153001334 is a wasteful number, since it uses less digits than its factorization.

241153001334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11275 (or 11269 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 241153001334 its reverse (433100351142), we get a palindrome (674253352476).

The spelling of 241153001334 in words is "two hundred forty-one billion, one hundred fifty-three million, one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 282 329 378 423 658 846 987 1269 1381 1974 2538 2762 2961 4143 5922 8286 8883 9667 9829 12429 17766 19334 19658 24858 29001 29487 37287 58002 58974 64907 68803 74574 87003 88461 129814 137606 174006 176922 194721 206409 261009 265383 389442 412818 454349 461963 522018 530766 584163 619227 908698 923926 1168326 1238454 1363047 1385889 1752489 1857681 2726094 2771778 3233741 3504978 3715362 4089141 4157667 6467482 8178282 8315334 9701223 12267423 12473001 13573849 19402446 24534846 24946002 27147698 29103669 40721547 58207338 81443094 87311007 95016943 122164641 174622014 190033886 244329282 285050829 366493923 570101658 637970903 732987846 855152487 1275941806 1710304974 1913912709 2565457461 3827825418 4465796321 5130914922 5741738127 8931592642 11483476254 13397388963 17225214381 26794777926 34450428762 40192166889 80384333778 120576500667 241153001334