Search a number
-
+
122341421457552 = 243111311768757539
BaseRepresentation
bin11011110100010011010100…
…111101111010000010010000
3121001011201121000022222100010
4123310103110331322002100
5112013420212343120202
61112110512332354520
734524606321200523
oct3364232475720220
9531151530288303
10122341421457552
1135a88783a84440
121187a706615a40
1353359921c462b
14222d4dbd28bba
15e225ab4ab76c
hex6f44d4f7a090

122341421457552 has 80 divisors (see below), whose sum is σ = 347412280976640. Its totient is φ = 36790156790400.

The previous prime is 122341421457533. The next prime is 122341421457569. The reversal of 122341421457552 is 255754124143221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 884309602 + ... + 884447937.

It is an arithmetic number, because the mean of its divisors is an integer number (4342653512208).

Almost surely, 2122341421457552 is an apocalyptic number.

122341421457552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122341421457552 is an abundant number, since it is smaller than the sum of its proper divisors (225070859519088).

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

122341421457552 is a wasteful number, since it uses less digits than its factorization.

122341421457552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768757692 (or 1768757686 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 48.

The spelling of 122341421457552 in words is "one hundred twenty-two trillion, three hundred forty-one billion, four hundred twenty-one million, four hundred fifty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 131 132 176 262 264 393 524 528 786 1048 1441 1572 2096 2882 3144 4323 5764 6288 8646 11528 17292 23056 34584 69168 1768757539 3537515078 5306272617 7075030156 10612545234 14150060312 19456332929 21225090468 28300120624 38912665858 42450180936 58368998787 77825331716 84900361872 116737997574 155650663432 231707237609 233475995148 311301326864 463414475218 466951990296 695121712827 926828950436 933903980592 1390243425654 1853657900872 2548779613699 2780486851308 3707315801744 5097559227398 5560973702616 7646338841097 10195118454796 11121947405232 15292677682194 20390236909592 30585355364388 40780473819184 61170710728776 122341421457552