Search a number
-
+
10140113341440 = 210325220054543
BaseRepresentation
bin1001001110001110110111…
…0110101000110000000000
31022220101101221012110210200
42103203231312220300000
52312113423003411230
633322145340125200
72064412314163155
oct223435566506000
938811357173720
1010140113341440
11325a4416a1275
12117927b536800
13587293352754
14270ad982222c
15128b7aaa2160
hex938edda8c00

10140113341440 has 132 divisors (see below), whose sum is σ = 35135228822304. Its totient is φ = 2704030212096.

The previous prime is 10140113341333. The next prime is 10140113341453. The reversal of 10140113341440 is 4414331104101.

10140113341440 is a `hidden beast` number, since 1 + 0 + 140 + 11 + 33 + 41 + 440 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109981192 + ... + 110073351.

Almost surely, 210140113341440 is an apocalyptic number.

10140113341440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140113341440 is an abundant number, since it is smaller than the sum of its proper divisors (24995115480864).

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

10140113341440 is a wasteful number, since it uses less digits than its factorization.

10140113341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220054574 (or 220054553 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10140113341440 its reverse (4414331104101), we get a palindrome (14554444445541).

The spelling of 10140113341440 in words is "ten trillion, one hundred forty billion, one hundred thirteen million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 220054543 440109086 660163629 880218172 1100272715 1320327258 1760436344 1980490887 2200545430 2640654516 3300818145 3520872688 3960981774 4401090860 5281309032 6601636290 7041745376 7921963548 8802181720 9902454435 10562618064 13203272580 14083490752 15843927096 17604363440 19804908870 21125236128 26406545160 28166981504 31687854192 35208726880 39609817740 42250472256 52813090320 56333963008 63375708384 70417453760 79219635480 84500944512 105626180640 112667926016 126751416768 140834907520 158439270960 169001889024 211252361280 225335852032 253502833536 281669815040 316878541920 338003778048 422504722560 507005667072 563339630080 633757083840 676007556096 845009445120 1014011334144 1126679260160 1267514167680 1690018890240 2028022668288 2535028335360 3380037780480 5070056670720 10140113341440