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40131124040 = 2357237438387
BaseRepresentation
bin100101011000000000…
…000101101101001000
310211120210210022212102
4211120000011231020
51124142031432130
630234101132532
72620325632430
oct453000055510
9124523708772
1040131124040
1116023a78517
12793b9ba148
133a272a2857
141d29b812c0
15109d288645
hex958005b48

40131124040 has 128 divisors (see below), whose sum is σ = 107838812160. Its totient is φ = 13141734144.

The previous prime is 40131124031. The next prime is 40131124049. The reversal of 40131124040 is 4042113104.

It is an interprime number because it is at equal distance from previous prime (40131124031) and next prime (40131124049).

It is a super-2 number, since 2×401311240402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40131124049) 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, 4780727 + ... + 4789113.

It is an arithmetic number, because the mean of its divisors is an integer number (842490720).

Almost surely, 240131124040 is an apocalyptic number.

40131124040 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 40131124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53919406080).

40131124040 is an abundant number, since it is smaller than the sum of its proper divisors (67707688120).

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

40131124040 is a wasteful number, since it uses less digits than its factorization.

40131124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9171 (or 9167 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40131124040 its reverse (4042113104), we get a palindrome (44173237144).

The spelling of 40131124040 in words is "forty billion, one hundred thirty-one million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 743 805 920 1288 1486 1610 2972 3220 3715 5201 5944 6440 7430 8387 10402 14860 16774 17089 20804 26005 29720 33548 34178 41608 41935 52010 58709 67096 68356 83870 85445 104020 117418 119623 136712 167740 170890 192901 208040 234836 239246 293545 335480 341780 385802 469672 478492 587090 598115 683560 771604 956984 964505 1174180 1196230 1350307 1543208 1929010 2348360 2392460 2700614 3858020 4784920 5401228 6231541 6751535 7716040 10802456 12463082 13503070 24926164 27006140 31157705 43620787 49852328 54012280 62315410 87241574 124630820 143325443 174483148 218103935 249261640 286650886 348966296 436207870 573301772 716627215 872415740 1003278101 1146603544 1433254430 1744831480 2006556202 2866508860 4013112404 5016390505 5733017720 8026224808 10032781010 20065562020 40131124040