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14613004708416 = 2634530932
BaseRepresentation
bin1101010010100101101011…
…1101000110101001000000
31220201222201102102122110000
43110221122331012221000
53403404413201132131
651025042141240000
73035516610403302
oct324513275065100
956658642378400
1014613004708416
11472438221a094
121780121863000
13820000c4129a
143873b7945972
151a51b77ecce6
hexd4a5af46a40

14613004708416 has 105 divisors (see below), whose sum is σ = 43318339690681. Its totient is φ = 4870909824768.

The previous prime is 14613004708409. The next prime is 14613004708441. The reversal of 14613004708416 is 61480740031641.

The square root of 14613004708416 is 3822696.

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

14613004708416 is a `hidden beast` number, since 1 + 4 + 6 + 130 + 0 + 470 + 8 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11144113358400 + 3468891350016 = 3338280^2 + 1862496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 275207566 + ... + 275260658.

Almost surely, 214613004708416 is an apocalyptic number.

14613004708416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14613004708416 is the 3822696-th square number.

It is an amenable number.

14613004708416 is an abundant number, since it is smaller than the sum of its proper divisors (28705334982265).

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

14613004708416 is an frugal number, since it uses more digits than its factorization.

14613004708416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106210 (or 53098 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14613004708416 in words is "fourteen trillion, six hundred thirteen billion, four million, seven hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 53093 106186 159279 212372 318558 424744 477837 637116 849488 955674 1274232 1433511 1698976 1911348 2548464 2867022 3397952 3822696 4300533 5096928 5734044 7645392 8601066 10193856 11468088 15290784 17202132 22936176 30581568 34404264 45872352 68808528 91744704 137617056 275234112 2818866649 5637733298 8456599947 11275466596 16913199894 22550933192 25369799841 33826399788 45101866384 50739599682 67652799576 76109399523 90203732768 101479199364 135305599152 152218799046 180407465536 202958398728 228328198569 270611198304 304437598092 405916797456 456656397138 541222396608 608875196184 811833594912 913312794276 1217750392368 1623667189824 1826625588552 2435500784736 3653251177104 4871001569472 7306502354208 14613004708416