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11214432412320 = 2535151154724509
BaseRepresentation
bin1010001100110001000001…
…0000101010001010100000
31110201002102002001212120110
42203030100100222022200
52432214124144143240
635503501130211320
72235134042464224
oct243142020521240
943632362055513
1011214432412320
1136340178120a5
121311522883b40
13634693801677
142aaad2330784
15146aa6bc8c80
hexa331042a2a0

11214432412320 has 96 divisors (see below), whose sum is σ = 35559405786240. Its totient is φ = 2970710553600.

The previous prime is 11214432412307. The next prime is 11214432412357. The reversal of 11214432412320 is 2321423441211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77289775 + ... + 77434734.

It is an arithmetic number, because the mean of its divisors is an integer number (370410476940).

Almost surely, 211214432412320 is an apocalyptic number.

11214432412320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11214432412320 is an abundant number, since it is smaller than the sum of its proper divisors (24344973373920).

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

11214432412320 is a wasteful number, since it uses less digits than its factorization.

11214432412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154724678 (or 154724670 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11214432412320 its reverse (2321423441211), we get a palindrome (13535855853531).

The spelling of 11214432412320 in words is "eleven trillion, two hundred fourteen billion, four hundred thirty-two million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 151 160 240 302 453 480 604 755 906 1208 1510 1812 2265 2416 3020 3624 4530 4832 6040 7248 9060 12080 14496 18120 24160 36240 72480 154724509 309449018 464173527 618898036 773622545 928347054 1237796072 1547245090 1856694108 2320867635 2475592144 3094490180 3713388216 4641735270 4951184288 6188980360 7426776432 9283470540 12377960720 14853552864 18566941080 23363400859 24755921440 37133882160 46726801718 70090202577 74267764320 93453603436 116817004295 140180405154 186907206872 233634008590 280360810308 350451012885 373814413744 467268017180 560721620616 700902025770 747628827488 934536034360 1121443241232 1401804051540 1869072068720 2242886482464 2803608103080 3738144137440 5607216206160 11214432412320