Search a number
-
+
344402054133525 = 34521793372819407
BaseRepresentation
bin100111001001110110101101…
…0000110001011011100010101
31200011102111220022100110120000
41032103231122012023130111
5330120140401324233100
63220252041450001513
7132354140650354353
oct11623553206133425
91604374808313500
10344402054133525
119a812100019473
1232763513116299
1311a22c8885535b
1461092111607d3
1529c3a4b436900
hex1393b5a18b715

344402054133525 has 120 divisors (see below), whose sum is σ = 643419467982720. Its totient is φ = 182112876771840.

The previous prime is 344402054133517. The next prime is 344402054133541. The reversal of 344402054133525 is 525331450204443.

344402054133525 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 0 + 20 + 541 + 33 + 52 + 5 = 666.

It is not a de Polignac number, because 344402054133525 - 23 = 344402054133517 is a prime.

It is a super-2 number, since 2×3444020541335252 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 120744372 + ... + 123563778.

It is an arithmetic number, because the mean of its divisors is an integer number (5361828899856).

Almost surely, 2344402054133525 is an apocalyptic number.

It is an amenable number.

344402054133525 is a deficient number, since it is larger than the sum of its proper divisors (299017413849195).

344402054133525 is a wasteful number, since it uses less digits than its factorization.

344402054133525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819945 (or 2819931 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 344402054133525 in words is "three hundred forty-four trillion, four hundred two billion, fifty-four million, one hundred thirty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 179 225 337 405 537 675 895 1011 1611 1685 2025 2685 3033 4475 4833 5055 8055 8425 9099 13425 14499 15165 24165 25275 27297 40275 45495 60323 72495 75825 120825 136485 180969 227475 301615 362475 542907 682425 904845 1508075 1628721 2714535 2819407 4524225 4886163 8143605 8458221 13572675 14097035 24430815 25374663 40718025 42291105 70485175 76123989 122154075 126873315 211455525 228371967 380619945 504673853 634366575 950140159 1141859835 1514021559 1903099725 2523369265 2850420477 4542064677 4750700795 5709299175 7570107795 8551261431 12616846325 13626194031 14252102385 22710323385 23753503975 25653784293 37850538975 40878582093 42756307155 68130970155 71260511925 76961352879 113551616925 128268921465 170075088461 204392910465 213781535775 340654850775 384806764395 510225265383 641344607325 850375442305 1021964552325 1530675796149 1924033821975 2551126326915 4251877211525 4592027388447 7653378980745 12755631634575 13776082165341 22960136942235 38266894903725 68880410826705 114800684711175 344402054133525