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42050024040 = 23351953347981
BaseRepresentation
bin100111001010011000…
…000111001001101000
311000112112112112210210
4213022120013021220
51142104301232130
631152325541120
73016016210163
oct471230071150
9130475475723
1042050024040
1116919162492
1281965747a0
133c719c2c3b
14206c968ada
15116197b5b0
hex9ca607268

42050024040 has 128 divisors (see below), whose sum is σ = 135295401600. Its totient is φ = 10422696960.

The previous prime is 42050024039. The next prime is 42050024047. The reversal of 42050024040 is 4042005024.

It is a junction number, because it is equal to n+sod(n) for n = 42050023998 and 42050024016.

It is not an unprimeable number, because it can be changed into a prime (42050024047) 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, 53151 + ... + 294830.

It is an arithmetic number, because the mean of its divisors is an integer number (1056995325).

Almost surely, 242050024040 is an apocalyptic number.

42050024040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42050024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67647700800).

42050024040 is an abundant number, since it is smaller than the sum of its proper divisors (93245377560).

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

42050024040 is a wasteful number, since it uses less digits than its factorization.

42050024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348067 (or 348063 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 42050024040 its reverse (4042005024), we get a palindrome (46092029064).

The spelling of 42050024040 in words is "forty-two billion, fifty million, twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 53 57 60 76 95 106 114 120 152 159 190 212 228 265 285 318 380 424 456 530 570 636 760 795 1007 1060 1140 1272 1590 2014 2120 2280 3021 3180 4028 5035 6042 6360 8056 10070 12084 15105 20140 24168 30210 40280 60420 120840 347981 695962 1043943 1391924 1739905 2087886 2783848 3479810 4175772 5219715 6611639 6959620 8351544 10439430 13223278 13919240 18442993 19834917 20878860 26446556 33058195 36885986 39669834 41757720 52893112 55328979 66116390 73771972 79339668 92214965 99174585 110657958 132232780 147543944 158679336 184429930 198349170 221315916 264465560 276644895 350416867 368859860 396698340 442631832 553289790 700833734 737719720 793396680 1051250601 1106579580 1401667468 1752084335 2102501202 2213159160 2803334936 3504168670 4205002404 5256253005 7008337340 8410004808 10512506010 14016674680 21025012020 42050024040