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614123054020 = 22578395355457
BaseRepresentation
bin10001110111111001001…
…01100010001111000100
32011201011021212112110001
420323330211202033010
540030211000212040
61150042500211044
762240353554430
oct10737445421704
92151137775401
10614123054020
112174a24aa073
129b030699a84
1345bb08c23c8
1421a1bc2d9c0
1510e94bab59a
hex8efc9623c4

614123054020 has 96 divisors (see below), whose sum is σ = 1493245248768. Its totient is φ = 207797624832.

The previous prime is 614123053991. The next prime is 614123054021. The reversal of 614123054020 is 20450321416.

614123054020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 614123054020.

It is not an unprimeable number, because it can be changed into a prime (614123054021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11046132 + ... + 11101588.

It is an arithmetic number, because the mean of its divisors is an integer number (15554638008).

Almost surely, 2614123054020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 614123054020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746622624384).

614123054020 is an abundant number, since it is smaller than the sum of its proper divisors (879122194748).

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

614123054020 is a wasteful number, since it uses less digits than its factorization.

614123054020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56509 (or 56507 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 614123054020 its reverse (20450321416), we get a palindrome (634573375436).

The spelling of 614123054020 in words is "six hundred fourteen billion, one hundred twenty-three million, fifty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 953 1162 1660 1906 2324 2905 3812 4765 5810 6671 9530 11620 13342 19060 26684 33355 55457 66710 79099 110914 133420 158198 221828 277285 316396 388199 395495 553693 554570 776398 790990 1107386 1109140 1552796 1581980 1940995 2214772 2768465 3881990 4602931 5536930 7763980 9205862 11073860 18411724 23014655 32220517 46029310 52850521 64441034 92058620 105701042 128882068 161102585 211402084 264252605 322205170 369953647 528505210 644410340 739907294 1057010420 1479814588 1849768235 3699536470 4386593243 7399072940 8773186486 17546372972 21932966215 30706152701 43865932430 61412305402 87731864860 122824610804 153530763505 307061527010 614123054020