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1454530024134 = 232114726154517
BaseRepresentation
bin10101001010101000101…
…111101101001011000110
312011001101200212000222100
4111022220233231023012
5142312334141233014
63032111334212530
7210041416132155
oct25125057551306
95131350760870
101454530024134
11510954308540
121b5a931b4146
13a7214033345
145058481d59c
1527c80574009
hex152a8bed2c6

1454530024134 has 144 divisors (see below), whose sum is σ = 3570335408016. Its totient is φ = 424308931200.

The previous prime is 1454530024127. The next prime is 1454530024139. The reversal of 1454530024134 is 4314200354541.

1454530024134 is a `hidden beast` number, since 1 + 4 + 54 + 530 + 0 + 2 + 41 + 34 = 666.

It is a super-2 number, since 2×14545300241342 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1454530024139) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26653044 + ... + 26707560.

It is an arithmetic number, because the mean of its divisors is an integer number (24793995889).

Almost surely, 21454530024134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1454530024134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785167704008).

1454530024134 is an abundant number, since it is smaller than the sum of its proper divisors (2115805383882).

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

1454530024134 is a wasteful number, since it uses less digits than its factorization.

1454530024134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54691 (or 54641 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 1454530024134 its reverse (4314200354541), we get a palindrome (5768730378675).

The spelling of 1454530024134 in words is "one trillion, four hundred fifty-four billion, five hundred thirty million, twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 47 61 66 94 99 122 141 183 198 282 366 423 517 549 671 846 1034 1098 1342 1551 2013 2209 2867 3102 4026 4418 4653 5734 6039 6627 8601 9306 12078 13254 17202 19881 24299 25803 31537 39762 48598 51606 54517 63074 72897 94611 109034 134749 145794 163551 189222 218691 269498 283833 327102 404247 437382 490653 567666 599687 808494 981306 1199374 1212741 1482239 1799061 2425482 2562299 2964478 3325537 3598122 4446717 5124598 5397183 6651074 7686897 8893434 9976611 10794366 13340151 15373794 19953222 23060691 26680302 28185289 29929833 36580907 46121382 56370578 59859666 73161814 84555867 109742721 120428053 156300239 169111734 219485442 240856106 253667601 312600478 329228163 361284159 468900717 507335202 658456326 722568318 937801434 1083852477 1324708583 1406702151 1719302629 2167704954 2649417166 2813404302 3438605258 3974125749 5157907887 7346111233 7948251498 10315815774 11922377247 14692222466 15473723661 22038333699 23844754494 30947447322 44076667398 66115001097 80807223563 132230002194 161614447126 242421670689 484843341378 727265012067 1454530024134