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31440224140 = 225132912732833
BaseRepresentation
bin11101010001111110…
…111011111110001100
310000011010022212110221
4131101332323332030
51003342144133030
622235441041124
72162055332023
oct352176737614
9100133285427
1031440224140
1112374206816
1261153261a4
132c70888430
14174382b8ba
15c402b6e7a
hex751fbbf8c

31440224140 has 96 divisors (see below), whose sum is σ = 74136545280. Its totient is φ = 11119804416.

The previous prime is 31440224131. The next prime is 31440224161. The reversal of 31440224140 is 4142204413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941164 + ... + 973996.

It is an arithmetic number, because the mean of its divisors is an integer number (772255680).

Almost surely, 231440224140 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 31440224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37068272640).

31440224140 is an abundant number, since it is smaller than the sum of its proper divisors (42696321140).

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

31440224140 is a wasteful number, since it uses less digits than its factorization.

31440224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33011 (or 33009 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 31440224140 its reverse (4142204413), we get a palindrome (35582428553).

The spelling of 31440224140 in words is "thirty-one billion, four hundred forty million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 127 130 145 254 260 290 377 508 580 635 754 1270 1508 1651 1885 2540 3302 3683 3770 6604 7366 7540 8255 14732 16510 18415 32833 33020 36830 47879 65666 73660 95758 131332 164165 191516 239395 328330 426829 478790 656660 853658 952157 957580 1707316 1904314 2134145 3808628 4169791 4268290 4760785 8339582 8536580 9521570 12378041 16679164 19043140 20848955 24756082 41697910 49512164 54207283 61890205 83395820 108414566 120923939 123780410 216829132 241847878 247560820 271036415 483695756 542072830 604619695 1084145660 1209239390 1572011207 2418478780 3144022414 6288044828 7860056035 15720112070 31440224140