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54125445414030 = 23519315444356263
BaseRepresentation
bin11000100111010000011111…
…11100100111110010001110
321002122100020100112021022120
430103220033330213302032
524043242403011222110
6311040515241553410
714254301665023264
oct1423501774476216
9232570210467276
1054125445414030
1116278521985a51
1260a1a5a1a5866
132428013916b43
14d51985178434
1563cdd8bab870
hex313a0ff27c8e

54125445414030 has 128 divisors (see below), whose sum is σ = 141153970913280. Its totient is φ = 13232228273280.

The previous prime is 54125445413989. The next prime is 54125445414067. The reversal of 54125445414030 is 3041454452145.

It is a super-3 number, since 3×541254454140303 (a number of 42 digits) contains 333 as substring.

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, 961979679 + ... + 962035941.

It is an arithmetic number, because the mean of its divisors is an integer number (1102765397760).

Almost surely, 254125445414030 is an apocalyptic number.

54125445414030 is an abundant number, since it is smaller than the sum of its proper divisors (87028525499250).

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

54125445414030 is a wasteful number, since it uses less digits than its factorization.

54125445414030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110766.

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 54125445414030 its reverse (3041454452145), we get a palindrome (57166899866175).

The spelling of 54125445414030 in words is "fifty-four trillion, one hundred twenty-five billion, four hundred forty-five million, four hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1767 2945 3534 5890 8835 17670 54443 56263 108886 112526 163329 168789 272215 281315 326658 337578 544430 562630 816645 843945 1034417 1068997 1633290 1687733 1687890 1744153 2068834 2137994 3103251 3206991 3375466 3488306 5063199 5172085 5232459 5344985 6206502 6413982 8438665 8720765 10126398 10344170 10464918 10689970 15516255 16034955 16877330 17441530 25315995 26162295 31032510 32066927 32069910 33138907 50631990 52324590 64133854 66277814 96200781 99416721 160334635 165694535 192401562 198833442 320669270 331389070 481003905 497083605 962007810 994167210 3063126509 6126253018 9189379527 15315632545 18378759054 30631265090 45946897635 58199403671 91893795270 94956921779 116398807342 174598211013 189913843558 284870765337 290997018355 349196422026 474784608895 569741530674 581994036710 872991055065 949569217790 1424353826685 1745982110130 1804181513801 2848707653370 3608363027602 5412544541403 9020907569005 10825089082806 18041815138010 27062722707015 54125445414030