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42040434132 = 22331983924419
BaseRepresentation
bin100111001001110011…
…100001110111010100
311000111212111022221000
4213021303201313110
51142044322343012
631151344223300
73015541536234
oct471163416724
9130455438830
1042040434132
1116913802444
12819330ab30
133c6ca15c38
14206b58dcc4
151160bd4ddc
hex9c9ce1dd4

42040434132 has 96 divisors (see below), whose sum is σ = 114871680000. Its totient is φ = 13259560032.

The previous prime is 42040434131. The next prime is 42040434199. The reversal of 42040434132 is 23143404024.

It is a happy number.

42040434132 is a `hidden beast` number, since 4 + 204 + 0 + 43 + 413 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42040434096 and 42040434105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42040434131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1709419 + ... + 1733837.

It is an arithmetic number, because the mean of its divisors is an integer number (1196580000).

Almost surely, 242040434132 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 42040434132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57435840000).

42040434132 is an abundant number, since it is smaller than the sum of its proper divisors (72831245868).

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

42040434132 is a wasteful number, since it uses less digits than its factorization.

42040434132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25290 (or 25282 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42040434132 its reverse (23143404024), we get a palindrome (65183838156).

The spelling of 42040434132 in words is "forty-two billion, forty million, four hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 839 1026 1678 2052 2517 3356 5034 7551 10068 15102 15941 22653 24419 30204 31882 45306 47823 48838 63764 73257 90612 95646 97676 143469 146514 191292 219771 286938 293028 430407 439542 463961 573876 659313 860814 879084 927922 1318626 1391883 1721628 1855844 2637252 2783766 4175649 5567532 8351298 12526947 16702596 20487541 25053894 40975082 50107788 61462623 81950164 122925246 184387869 245850492 368775738 389263279 553163607 737551476 778526558 1106327214 1167789837 1557053116 2212654428 2335579674 3503369511 4671159348 7006739022 10510108533 14013478044 21020217066 42040434132