Search a number
-
+
23040013120040 = 2357531977881023
BaseRepresentation
bin1010011110100011010111…
…10011000011001000101000
310000120121022010110212220202
411033101223303003020220
511004441421324320130
6121000234053411332
74565405001132440
oct517215363031050
9100517263425822
1023040013120040
11738323a833064
122701385939b48
13cb188280ac17
145991dd379120
1529e4cc304145
hex14f46bcc3228

23040013120040 has 128 divisors (see below), whose sum is σ = 60670014197760. Its totient is φ = 7711044117504.

The previous prime is 23040013120037. The next prime is 23040013120043. The reversal of 23040013120040 is 4002131004032.

It is an interprime number because it is at equal distance from previous prime (23040013120037) and next prime (23040013120043).

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

It is a junction number, because it is equal to n+sod(n) for n = 23040013119994 and 23040013120021.

It is not an unprimeable number, because it can be changed into a prime (23040013120043) 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, 1017032 + ... + 6863991.

It is an arithmetic number, because the mean of its divisors is an integer number (473984485920).

Almost surely, 223040013120040 is an apocalyptic number.

23040013120040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23040013120040 is an abundant number, since it is smaller than the sum of its proper divisors (37630001077720).

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

23040013120040 is a wasteful number, since it uses less digits than its factorization.

23040013120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7881291 (or 7881287 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23040013120040 its reverse (4002131004032), we get a palindrome (27042144124072).

The spelling of 23040013120040 in words is "twenty-three trillion, forty billion, thirteen million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 197 212 265 280 371 394 424 530 742 788 985 1060 1379 1484 1576 1855 1970 2120 2758 2968 3710 3940 5516 6895 7420 7880 10441 11032 13790 14840 20882 27580 41764 52205 55160 73087 83528 104410 146174 208820 292348 365435 417640 584696 730870 1461740 2923480 7881023 15762046 31524092 39405115 55167161 63048184 78810230 110334322 157620460 220668644 275835805 315240920 417694219 441337288 551671610 835388438 1103343220 1552561531 1670776876 2088471095 2206686440 2923859533 3105123062 3341553752 4176942190 5847719066 6210246124 7762807655 8353884380 10867930717 11695438132 12420492248 14619297665 15525615310 16707768760 21735861434 23390876264 29238595330 31051230620 43471722868 54339653585 58477190660 62102461240 82285761143 86943445736 108679307170 116954381320 164571522286 217358614340 329143044572 411428805715 434717228680 576000328001 658286089144 822857611430 1152000656002 1645715222860 2304001312004 2880001640005 3291430445720 4608002624008 5760003280010 11520006560020 23040013120040