Search a number
-
+
1454055869844 = 22322313914518707
BaseRepresentation
bin10101001010001100011…
…110111100110110010100
312011000011122122111120100
4111022030132330312110
5142310401300313334
63031552315334100
7210023600652144
oct25121436746624
95130148574510
101454055869844
115107306a4396
121b5980451330
13a7169a2a386
145053b874924
1527c53b13c99
hex1528c7bcd94

1454055869844 has 144 divisors (see below), whose sum is σ = 3866034332160. Its totient is φ = 459906638400.

The previous prime is 1454055869839. The next prime is 1454055869857. The reversal of 1454055869844 is 4489685504541.

1454055869844 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 0 + 5 + 586 + 9 + 8 + 44 = 666.

It is a super-2 number, since 2×14540558698442 (a number of 25 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 47 ways as a sum of consecutive naturals, for example, 166994139 + ... + 167002845.

It is an arithmetic number, because the mean of its divisors is an integer number (26847460640).

Almost surely, 21454055869844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1454055869844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933017166080).

1454055869844 is an abundant number, since it is smaller than the sum of its proper divisors (2411978462316).

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

1454055869844 is a wasteful number, since it uses less digits than its factorization.

1454055869844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 1454055869844 in words is "one trillion, four hundred fifty-four billion, fifty-five million, eight hundred sixty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 139 207 276 278 414 417 556 828 834 1251 1451 1668 2502 2902 3197 4353 5004 5804 6394 8706 8707 9591 12788 13059 17412 17414 19182 26118 26121 28773 33373 34828 38364 52236 52242 57546 66746 78363 100119 104484 115092 133492 156726 200238 200261 201689 300357 313452 400476 400522 403378 600714 600783 605067 801044 806756 1201428 1201566 1210134 1210273 1802349 1815201 2403132 2420268 2420546 3604698 3630402 3630819 4638847 4841092 7209396 7260804 7261638 9277694 10892457 12633857 13916541 14523276 18555388 21784914 25267714 27833082 27836279 37901571 41749623 43569828 50535428 55666164 55672558 75803142 83499246 83508837 111345116 113704713 151606284 166998492 167017674 227409426 250526511 290578711 334035348 454818852 501053022 581157422 871736133 1002106044 1162314844 1743472266 1756106123 2615208399 3486944532 3512212246 5230416798 5268318369 7024424492 10460833596 10536636738 15804955107 21073273476 31609910214 40390440829 63219820428 80780881658 121171322487 161561763316 242342644974 363513967461 484685289948 727027934922 1454055869844