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45420014233200 = 2435241923171021
BaseRepresentation
bin10100101001111001010111…
…10100000110011001110000
312221211002222212220220020210
422110330223310012121300
521423130142120430300
6240333355543304120
712365326202634045
oct1224745364063160
9187732885826223
1045420014233200
1113521579a34622
125116852a4b040
131c461205b92a9
14b304aa1731cc
1553b72ae65050
hex294f2bd06670

45420014233200 has 120 divisors (see below), whose sum is σ = 149044115159856. Its totient is φ = 11816589056000.

The previous prime is 45420014233183. The next prime is 45420014233207. The reversal of 45420014233200 is 233241002454.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45420014233207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461536311 + ... + 461634710.

Almost surely, 245420014233200 is an apocalyptic number.

45420014233200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45420014233200 is an abundant number, since it is smaller than the sum of its proper divisors (103624100926656).

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

45420014233200 is a wasteful number, since it uses less digits than its factorization.

45420014233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923171083 (or 923171072 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 45420014233200 its reverse (233241002454), we get a palindrome (45653255235654).

The spelling of 45420014233200 in words is "forty-five trillion, four hundred twenty billion, fourteen million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 150 164 200 205 240 246 300 328 400 410 492 600 615 656 820 984 1025 1200 1230 1640 1968 2050 2460 3075 3280 4100 4920 6150 8200 9840 12300 16400 24600 49200 923171021 1846342042 2769513063 3692684084 4615855105 5539026126 7385368168 9231710210 11078052252 13847565315 14770736336 18463420420 22156104504 23079275525 27695130630 36926840840 37850011861 44312209008 46158551050 55390261260 69237826575 73853681680 75700023722 92317102100 110780522520 113550035583 138475653150 151400047444 184634204200 189250059305 221561045040 227100071166 276951306300 302800094888 369268408400 378500118610 454200142332 553902612600 567750177915 605600189776 757000237220 908400284664 946250296525 1107805225200 1135500355830 1514000474440 1816800569328 1892500593050 2271000711660 2838750889575 3028000948880 3785001186100 4542001423320 5677501779150 7570002372200 9084002846640 11355003558300 15140004744400 22710007116600 45420014233200