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7121144240 = 245759215531
BaseRepresentation
bin1101010000111010…
…00000100110110000
3200101021200121102222
412220131000212300
5104041003103430
63134342500212
7341316504320
oct65035004660
920337617388
107121144240
113024778081
121468a34668
13896440922
144b7a93280
152ba2989e5
hex1a87409b0

7121144240 has 80 divisors (see below), whose sum is σ = 19242696960. Its totient is φ = 2400142080.

The previous prime is 7121144221. The next prime is 7121144257. The reversal of 7121144240 is 424411217.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74726 + ... + 140805.

It is an arithmetic number, because the mean of its divisors is an integer number (240533712).

Almost surely, 27121144240 is an apocalyptic number.

7121144240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7121144240 is an abundant number, since it is smaller than the sum of its proper divisors (12121552720).

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

7121144240 is a wasteful number, since it uses less digits than its factorization.

7121144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215610 (or 215604 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 7121144240 is about 84386.8724387864. The cubic root of 7121144240 is about 1923.9033943106.

Adding to 7121144240 its reverse (424411217), we get a palindrome (7545555457).

The spelling of 7121144240 in words is "seven billion, one hundred twenty-one million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 826 944 1180 1652 2065 2360 3304 4130 4720 6608 8260 16520 33040 215531 431062 862124 1077655 1508717 1724248 2155310 3017434 3448496 4310620 6034868 7543585 8621240 12069736 12716329 15087170 17242480 24139472 25432658 30174340 50865316 60348680 63581645 89014303 101730632 120697360 127163290 178028606 203461264 254326580 356057212 445071515 508653160 712114424 890143030 1017306320 1424228848 1780286060 3560572120 7121144240