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144433200214440 = 23335413261815723
BaseRepresentation
bin100000110101110001111001…
…100101111011000110101000
3200221101200100001120020211000
4200311301321211323012220
5122412343143223330230
61231103410213035000
742264645226254264
oct4065617145730650
9627350301506730
10144433200214440
114202585a178765
1214248156625a60
136278cb9224867
142794865c7b0a4
1511a708b90ab60
hex835c7997b1a8

144433200214440 has 128 divisors (see below), whose sum is σ = 493186537468800. Its totient is φ = 37576117117440.

The previous prime is 144433200214421. The next prime is 144433200214441. The reversal of 144433200214440 is 44412002334441.

144433200214440 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 3 + 3 + 200 + 2 + 1 + 4 + 440 = 666.

144433200214440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144433200214395 and 144433200214404.

It is not an unprimeable number, because it can be changed into a prime (144433200214441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1630863582 + ... + 1630952141.

It is an arithmetic number, because the mean of its divisors is an integer number (3853019823975).

Almost surely, 2144433200214440 is an apocalyptic number.

144433200214440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144433200214440 is an abundant number, since it is smaller than the sum of its proper divisors (348753337254360).

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

144433200214440 is a wasteful number, since it uses less digits than its factorization.

144433200214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261815784 (or 3261815774 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144433200214440 its reverse (44412002334441), we get a palindrome (188845202548881).

The spelling of 144433200214440 in words is "one hundred forty-four trillion, four hundred thirty-three billion, two hundred million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 360 369 410 492 540 615 738 820 984 1080 1107 1230 1476 1640 1845 2214 2460 2952 3690 4428 4920 5535 7380 8856 11070 14760 22140 44280 3261815723 6523631446 9785447169 13047262892 16309078615 19570894338 26094525784 29356341507 32618157230 39141788676 48927235845 58712683014 65236314460 78283577352 88069024521 97854471690 117425366028 130472628920 133734444643 146781707535 176138049042 195708943380 234850732056 267468889286 293563415070 352276098084 391417886760 401203333929 440345122605 534937778572 587126830140 668672223215 704552196168 802406667858 880690245210 1069875557144 1174253660280 1203610001787 1337344446430 1604813335716 1761380490420 2006016669645 2407220003574 2674688892860 3209626671432 3522760980840 3610830005361 4012033339290 4814440007148 5349377785720 6018050008935 7221660010722 8024066678580 9628880014296 12036100017870 14443320021444 16048133357160 18054150026805 24072200035740 28886640042888 36108300053610 48144400071480 72216600107220 144433200214440