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4140122454 = 2321325325679
BaseRepresentation
bin1111011011000101…
…0100000101010110
3101200112101000022200
43312301110011112
531434332404304
61522453105330
7204411313566
oct36661240526
911615330280
104140122454
111834a9a306
12976628246
1350c972700
142b3bcada6
15193702e39
hexf6c54156

4140122454 has 72 divisors (see below), whose sum is σ = 9897020640. Its totient is φ = 1249799616.

The previous prime is 4140122423. The next prime is 4140122461. The reversal of 4140122454 is 4542210414.

4140122454 is a `hidden beast` number, since 414 + 0 + 1 + 2 + 245 + 4 = 666.

4140122454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41401224542 = 34281227868229964232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148387 + ... + 174065.

It is an arithmetic number, because the mean of its divisors is an integer number (137458620).

Almost surely, 24140122454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140122454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948510320).

4140122454 is an abundant number, since it is smaller than the sum of its proper divisors (5756898186).

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

4140122454 is a wasteful number, since it uses less digits than its factorization.

4140122454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25766 (or 25750 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4140122454 is about 64343.7833360768. The cubic root of 4140122454 is about 1605.7246048328.

Adding to 4140122454 its reverse (4542210414), we get a palindrome (8682332868).

The spelling of 4140122454 in words is "four billion, one hundred forty million, one hundred twenty-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 169 234 318 338 477 507 689 954 1014 1378 1521 2067 3042 4134 6201 8957 12402 17914 25679 26871 51358 53742 77037 80613 154074 161226 231111 333827 462222 667654 1001481 1360987 2002962 2721974 3004443 4082961 4339751 6008886 8165922 8679502 12248883 13019253 17692831 24497766 26038506 35385662 39057759 53078493 78115518 106156986 159235479 230006803 318470958 460013606 690020409 1380040818 2070061227 4140122454