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122045543040 = 273563565387
BaseRepresentation
bin111000110101001111…
…0110011001010000000
3102200000120012222000210
41301222132303022000
53444422124334130
6132022243314120
711550254666511
oct1615236631200
9380016188023
10122045543040
1147839588963
121b7a097b940
13b67cc19275
145c9ac98a08
1532948625b0
hex1c6a7b3280

122045543040 has 64 divisors (see below), whose sum is σ = 389020174560. Its totient is φ = 32545477632.

The previous prime is 122045543033. The next prime is 122045543051. The reversal of 122045543040 is 40345540221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1220455430402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122045542989 and 122045543007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31780774 + ... + 31784613.

Almost surely, 2122045543040 is an apocalyptic number.

122045543040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122045543040 is an abundant number, since it is smaller than the sum of its proper divisors (266974631520).

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

122045543040 is an equidigital number, since it uses as much as digits as its factorization.

122045543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63565409 (or 63565397 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 122045543040 in words is "one hundred twenty-two billion, forty-five million, five hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 63565387 127130774 190696161 254261548 317826935 381392322 508523096 635653870 762784644 953480805 1017046192 1271307740 1525569288 1906961610 2034092384 2542615480 3051138576 3813923220 4068184768 5085230960 6102277152 7627846440 8136369536 10170461920 12204554304 15255692880 20340923840 24409108608 30511385760 40681847680 61022771520 122045543040