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1014616900080 = 243257201312877
BaseRepresentation
bin11101100001110111110…
…00010100000111110000
310120222220101200212212200
432300323320110013300
5113110413411300310
62054035241223200
7133206103232040
oct16607370240760
93528811625780
101014616900080
11361329875303
12144781191b00
13748a763c744
1437171825720
151b5d4b049c0
hexec3be141f0

1014616900080 has 120 divisors (see below), whose sum is σ = 3894196312032. Its totient is φ = 231912433152.

The previous prime is 1014616900067. The next prime is 1014616900091. The reversal of 1014616900080 is 800096164101.

It is a happy number.

1014616900080 is a `hidden beast` number, since 101 + 461 + 6 + 90 + 0 + 0 + 8 + 0 = 666.

1014616900080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100651399 + ... + 100661478.

Almost surely, 21014616900080 is an apocalyptic number.

1014616900080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014616900080 is an abundant number, since it is smaller than the sum of its proper divisors (2879579411952).

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

1014616900080 is a wasteful number, since it uses less digits than its factorization.

1014616900080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201312903 (or 201312894 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1014616900080 in words is "one trillion, fourteen billion, six hundred sixteen million, nine hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 201312877 402625754 603938631 805251508 1006564385 1207877262 1409190139 1610503016 1811815893 2013128770 2415754524 2818380278 3019693155 3221006032 3623631786 4026257540 4227570417 4831509048 5636760556 6039386310 7045950695 7247263572 8052515080 8455140834 9059079465 9663018096 11273521112 12078772620 12682711251 14091901390 14494527144 16105030160 16910281668 18118158930 21137852085 22547042224 24157545240 25365422502 28183802780 28989054288 33820563336 36236317860 42275704170 48315090480 50730845004 56367605560 63413556255 67641126672 72472635720 84551408340 101461690008 112735211120 126827112510 144945271440 169102816680 202923380016 253654225020 338205633360 507308450040 1014616900080