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114213544544520 = 23325479662337883
BaseRepresentation
bin11001111110000001101001…
…110000000100100100001000
3112222101201010021222022122200
4121332001221300010210020
5104432233314400411040
61042524551130320200
733025441051304661
oct3176015160044410
9488351107868580
10114213544544520
1133434768399803
1210987424b89060
134b963a253b035
14202bd7215a368
15d30e52caa630
hex67e069c04908

114213544544520 has 96 divisors (see below), whose sum is σ = 371968955654400. Its totient is φ = 30393360729216.

The previous prime is 114213544544513. The next prime is 114213544544521. The reversal of 114213544544520 is 25445445312411.

114213544544520 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 1 + 3 + 54 + 4 + 544 + 52 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114213544544521) 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, 330996502 + ... + 331341381.

It is an arithmetic number, because the mean of its divisors is an integer number (3874676621400).

Almost surely, 2114213544544520 is an apocalyptic number.

114213544544520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114213544544520 is an abundant number, since it is smaller than the sum of its proper divisors (257755411109880).

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

114213544544520 is a wasteful number, since it uses less digits than its factorization.

114213544544520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662338379 (or 662338372 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

Adding to 114213544544520 its reverse (25445445312411), we get a palindrome (139658989856931).

The spelling of 114213544544520 in words is "one hundred fourteen trillion, two hundred thirteen billion, five hundred forty-four million, five hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 479 958 1437 1916 2395 2874 3832 4311 4790 5748 7185 8622 9580 11496 14370 17244 19160 21555 28740 34488 43110 57480 86220 172440 662337883 1324675766 1987013649 2649351532 3311689415 3974027298 5298703064 5961040947 6623378830 7948054596 9935068245 11922081894 13246757660 15896109192 19870136490 23844163788 26493515320 29805204735 39740272980 47688327576 59610409470 79480545960 119220818940 238441637880 317259845957 634519691914 951779537871 1269039383828 1586299229785 1903559075742 2538078767656 2855338613613 3172598459570 3807118151484 4758897689355 5710677227226 6345196919140 7614236302968 9517795378710 11421354454452 12690393838280 14276693068065 19035590757420 22842708908904 28553386136130 38071181514840 57106772272260 114213544544520