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40241434122 = 23347127124847
BaseRepresentation
bin100101011110100100…
…111000111000001010
310211212111100122212000
4211132210320320022
51124403301342442
630253041331430
72623135355241
oct453644707012
9124774318760
1040241434122
111608027107a
127970936b76
133a440b60a6
141d3a697958
1510a7cc7d4c
hex95e938e0a

40241434122 has 64 divisors (see below), whose sum is σ = 92047933440. Its totient is φ = 13024933488.

The previous prime is 40241434091. The next prime is 40241434127. The reversal of 40241434122 is 22143414204.

40241434122 is a `hidden beast` number, since 4 + 0 + 241 + 4 + 3 + 412 + 2 = 666.

It is a super-3 number, since 3×402414341223 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40241434127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 259903 + ... + 384749.

It is an arithmetic number, because the mean of its divisors is an integer number (1438248960).

Almost surely, 240241434122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40241434122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46023966720).

40241434122 is an abundant number, since it is smaller than the sum of its proper divisors (51806499318).

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

40241434122 is a wasteful number, since it uses less digits than its factorization.

40241434122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125032 (or 125026 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40241434122 its reverse (22143414204), we get a palindrome (62384848326).

The spelling of 40241434122 in words is "forty billion, two hundred forty-one million, four hundred thirty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 127 141 254 282 381 423 762 846 1143 1269 2286 2538 3429 5969 6858 11938 17907 35814 53721 107442 124847 161163 249694 322326 374541 749082 1123623 2247246 3370869 5867809 6741738 11735618 15855569 17603427 31711138 35206854 47566707 52810281 95133414 105620562 142700121 158430843 285400242 316861686 428100363 745211743 856200726 1490423486 2235635229 4471270458 6706905687 13413811374 20120717061 40241434122