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40727427804 = 22337237208001
BaseRepresentation
bin100101111011100010…
…110011101011011100
310220010100211200212000
4211323202303223130
51131402210142204
630413202042300
72641156265400
oct457342635334
9126110750760
1040727427804
11162aa631348
127a87649390
133ac09a5c0b
141d85045100
1510d57c6039
hex97b8b3adc

40727427804 has 144 divisors (see below), whose sum is σ = 126149052960. Its totient is φ = 11321856000.

The previous prime is 40727427803. The next prime is 40727427847. The reversal of 40727427804 is 40872472704.

It is a self number, because there is not a number n which added to its sum of digits gives 40727427804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40727427803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91804 + ... + 299804.

It is an arithmetic number, because the mean of its divisors is an integer number (876035090).

Almost surely, 240727427804 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 40727427804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63074526480).

40727427804 is an abundant number, since it is smaller than the sum of its proper divisors (85421625156).

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

40727427804 is a wasteful number, since it uses less digits than its factorization.

40727427804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208065 (or 208050 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 40727427804 in words is "forty billion, seven hundred twenty-seven million, four hundred twenty-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 49 54 63 74 84 98 108 111 126 147 148 189 196 222 252 259 294 333 378 441 444 518 588 666 756 777 882 999 1036 1323 1332 1554 1764 1813 1998 2331 2646 3108 3626 3996 4662 5292 5439 6993 7252 9324 10878 13986 16317 21756 27972 32634 48951 65268 97902 195804 208001 416002 624003 832004 1248006 1456007 1872009 2496012 2912014 3744018 4368021 5616027 5824028 7488036 7696037 8736042 10192049 11232054 13104063 15392074 17472084 20384098 22464108 23088111 26208126 30576147 30784148 39312189 40768196 46176222 52416252 53872259 61152294 69264333 78624378 91728441 92352444 107744518 122304588 138528666 157248756 161616777 183456882 207792999 215489036 275185323 277057332 323233554 366913764 377105813 415585998 484850331 550370646 646467108 754211626 831171996 969700662 1100741292 1131317439 1454550993 1508423252 1939401324 2262634878 2909101986 3393952317 4525269756 5818203972 6787904634 10181856951 13575809268 20363713902 40727427804