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31540044006 = 23341103913711
BaseRepresentation
bin11101010111111011…
…101110000011100110
310000102002011020121000
4131113323232003212
51004043222402011
622253404334130
72164406644032
oct352773560346
9100362136530
1031540044006
1112415594979
126142844346
132c88467c43
141752bb31c2
15c48e33356
hex757eee0e6

31540044006 has 64 divisors (see below), whose sum is σ = 71872819200. Its totient is φ = 10246305600.

The previous prime is 31540043959. The next prime is 31540044017. The reversal of 31540044006 is 60044004513.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2293491 + ... + 2307201.

It is an arithmetic number, because the mean of its divisors is an integer number (1123012800).

Almost surely, 231540044006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31540044006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35936409600).

31540044006 is an abundant number, since it is smaller than the sum of its proper divisors (40332775194).

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

31540044006 is a wasteful number, since it uses less digits than its factorization.

31540044006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802 (or 14796 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 31540044006 its reverse (60044004513), we get a palindrome (91584048519).

The spelling of 31540044006 in words is "thirty-one billion, five hundred forty million, forty-four thousand, six".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1039 1107 2078 2214 3117 6234 9351 13711 18702 27422 28053 41133 42599 56106 82266 85198 123399 127797 246798 255594 370197 383391 562151 740394 766782 1124302 1150173 1686453 2300346 3372906 5059359 10118718 14245729 15178077 28491458 30356154 42737187 85474374 128211561 256423122 384634683 584074889 769269366 1168149778 1752224667 3504449334 5256674001 10513348002 15770022003 31540044006