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414472231488144 = 243411911102648213
BaseRepresentation
bin101111000111101011101011…
…0001000001000101010010000
32000100112011021110001020000210
41132033113112020020222100
5413311203112230110034
64025301525313444120
7153205426163610054
oct13617272610105220
92010464243036023
10414472231488144
11110077760451825
123a59b5b3870640
1314a3674366245b
14744c7c4da7c64
1532db591dc28e9
hex178f5d6208a90

414472231488144 has 80 divisors (see below), whose sum is σ = 1102577644514304. Its totient is φ = 134082022579200.

The previous prime is 414472231488089. The next prime is 414472231488229. The reversal of 414472231488144 is 441884132274414.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550948219 + ... + 551699994.

Almost surely, 2414472231488144 is an apocalyptic number.

It is an amenable number.

414472231488144 is an abundant number, since it is smaller than the sum of its proper divisors (688105413026160).

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

414472231488144 is a wasteful number, since it uses less digits than its factorization.

414472231488144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102648456 (or 1102648450 counting only the distinct ones).

The product of its digits is 22020096, while the sum is 57.

The spelling of 414472231488144 in words is "four hundred fourteen trillion, four hundred seventy-two billion, two hundred thirty-one million, four hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 191 246 328 382 492 573 656 764 984 1146 1528 1968 2292 3056 4584 7831 9168 15662 23493 31324 46986 62648 93972 125296 187944 375888 1102648213 2205296426 3307944639 4410592852 6615889278 8821185704 13231778556 17642371408 26463557112 45208576733 52927114224 90417153466 135625730199 180834306932 210605808683 271251460398 361668613864 421211617366 542502920796 631817426049 723337227728 842423234732 1085005841592 1263634852098 1684846469464 2170011683184 2527269704196 3369692938928 5054539408392 8634838156003 10109078816784 17269676312006 25904514468009 34539352624012 51809028936018 69078705248024 103618057872036 138157410496048 207236115744072 414472231488144