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12940642944 = 273410091237
BaseRepresentation
bin11000000110101001…
…01000101010000000
31020101212002202220000
430003110220222000
5203000301033234
65540030520000
7635452435665
oct140324505200
936355082800
1012940642944
115540723639
122611966000
1312b2cbb598
148aa917a6c
1550b129899
hex303528a80

12940642944 has 160 divisors (see below), whose sum is σ = 38580474900. Its totient is φ = 4305788928.

The previous prime is 12940642931. The next prime is 12940642969. The reversal of 12940642944 is 44924604921.

It can be written as a sum of positive squares in 2 ways, for example, as 12924961344 + 15681600 = 113688^2 + 3960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12940642944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10460694 + ... + 10461930.

Almost surely, 212940642944 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 12940642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290237450).

12940642944 is an abundant number, since it is smaller than the sum of its proper divisors (25639831956).

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

12940642944 is a wasteful number, since it uses less digits than its factorization.

12940642944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12940642944 in words is "twelve billion, nine hundred forty million, six hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1009 1152 1237 1296 1728 2018 2474 2592 3027 3456 3711 4036 4948 5184 6054 7422 8072 9081 9896 10368 11133 12108 14844 16144 18162 19792 22266 24216 27243 29688 32288 33399 36324 39584 44532 48432 54486 59376 64576 66798 72648 79168 81729 89064 96864 100197 108972 118752 129152 133596 145296 158336 163458 178128 193728 200394 217944 237504 267192 290592 326916 356256 387456 400788 435888 475008 534384 581184 653832 712512 801576 871776 1068768 1162368 1248133 1307664 1425024 1603152 1743552 2137536 2496266 2615328 3206304 3487104 3744399 4275072 4992532 5230656 6412608 7488798 9985064 10461312 11233197 12825216 14977596 19970128 22466394 29955192 33699591 39940256 44932788 59910384 67399182 79880512 89865576 101098773 119820768 134798364 159761024 179731152 202197546 239641536 269596728 359462304 404395092 479283072 539193456 718924608 808790184 1078386912 1437849216 1617580368 2156773824 3235160736 4313547648 6470321472 12940642944