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31440220420 = 22574713734877
BaseRepresentation
bin11101010001111110…
…111011000100000100
310000011010022200101011
4131101332323010010
51003342144023140
622235441012004
72162055315130
oct352176730404
9100133280334
1031440220420
1112374203a44
126115324004
132c7088682b
14174382a3c0
15c402b5cea
hex751fbb104

31440220420 has 96 divisors (see below), whose sum is σ = 77626708992. Its totient is φ = 10472844288.

The previous prime is 31440220403. The next prime is 31440220421. The reversal of 31440220420 is 2402204413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31440220391 and 31440220400.

It is not an unprimeable number, because it can be changed into a prime (31440220421) 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, 884022 + ... + 918898.

It is an arithmetic number, because the mean of its divisors is an integer number (808611552).

Almost surely, 231440220420 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 31440220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38813354496).

31440220420 is an abundant number, since it is smaller than the sum of its proper divisors (46186488572).

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

31440220420 is a wasteful number, since it uses less digits than its factorization.

31440220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35077 (or 35075 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 31440220420 its reverse (2402204413), we get a palindrome (33842424833).

The spelling of 31440220420 in words is "thirty-one billion, four hundred forty million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 137 140 188 235 274 329 470 548 658 685 940 959 1316 1370 1645 1918 2740 3290 3836 4795 6439 6580 9590 12878 19180 25756 32195 34877 45073 64390 69754 90146 128780 139508 174385 180292 225365 244139 348770 450730 488278 697540 901460 976556 1220695 1639219 2441390 3278438 4778149 4882780 6556876 8196095 9556298 11474533 16392190 19112596 22949066 23890745 32784380 33447043 45898132 47781490 57372665 66894086 95562980 114745330 133788172 167235215 224573003 229490660 334470430 449146006 668940860 898292012 1122865015 1572011021 2245730030 3144022042 4491460060 6288044084 7860055105 15720110210 31440220420