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14795531478016 = 21071216932
BaseRepresentation
bin1101011101001101101001…
…1001011110010000000000
31221101102212000202020221221
43113103122121132100000
53414402222024244031
651244550123324424
73054641030344522
oct327233231362000
957342760666857
1014795531478016
114794827889703
1217ab581680714
1383429c1c8773
1439217115da12
151a9cebc6da11
hexd74da65e400

14795531478016 has 99 divisors (see below), whose sum is σ = 30016783368273. Its totient is φ = 7289263779840.

The previous prime is 14795531477959. The next prime is 14795531478017. The reversal of 14795531478016 is 61087413559741.

The square root of 14795531478016 is 3846496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5637015577600 + 9158515900416 = 2374240^2 + 3026304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14795531478017) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8739238066 + ... + 8739239758.

Almost surely, 214795531478016 is an apocalyptic number.

14795531478016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14795531478016 is the 3846496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14795531478016

14795531478016 is an abundant number, since it is smaller than the sum of its proper divisors (15221251890257).

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

14795531478016 is an frugal number, since it uses more digits than its factorization.

14795531478016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 61.

The spelling of 14795531478016 in words is "fourteen trillion, seven hundred ninety-five billion, five hundred thirty-one million, four hundred seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 1024 1136 1693 2272 3386 4544 5041 6772 9088 10082 13544 18176 20164 27088 36352 40328 54176 72704 80656 108352 120203 161312 216704 240406 322624 433408 480812 645248 866816 961624 1290496 1733632 1923248 2580992 2866249 3846496 5161984 5732498 7692992 8534413 11464996 15385984 17068826 22929992 30771968 34137652 45859984 61543936 68275304 91719968 123087872 136550608 183439936 203503679 273101216 366879872 407007358 546202432 733759744 814014716 1092404864 1467519488 1628029432 2184809728 2935038976 3256058864 4369619456 6512117728 8739238912 13024235456 14448761209 26048470912 28897522418 52096941824 57795044836 104193883648 115590089672 208387767296 231180179344 462360358688 924720717376 1849441434752 3698882869504 7397765739008 14795531478016