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4002406044021 = 3271121038096301
BaseRepresentation
bin111010001111100001111…
…111011001000101110101
3112011121220120002101211200
4322033201333121011311
51011033411421402041
612302402511523113
7562110232021530
oct72174177310565
915147816071750
104002406044021
111303457962100
12547839829499
1323056b41c418
14dba08ad3a17
156e1a23271b6
hex3a3e1fd9175

4002406044021 has 144 divisors (see below), whose sum is σ = 7343138799360. Its totient is φ = 2056114368000.

The previous prime is 4002406043971. The next prime is 4002406044071. The reversal of 4002406044021 is 1204406042004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4002406043971) and next prime (4002406044071).

It is not a de Polignac number, because 4002406044021 - 217 = 4002405912949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002406044071) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 635198571 + ... + 635204871.

It is an arithmetic number, because the mean of its divisors is an integer number (50994019440).

Almost surely, 24002406044021 is an apocalyptic number.

It is an amenable number.

4002406044021 is a deficient number, since it is larger than the sum of its proper divisors (3340732755339).

4002406044021 is a wasteful number, since it uses less digits than its factorization.

4002406044021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7248 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 4002406044021 in words is "four trillion, two billion, four hundred six million, forty-four thousand, twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 103 121 231 309 363 693 721 809 847 927 1089 1133 2163 2427 2541 3399 5663 6301 6489 7281 7623 7931 8899 10197 12463 16989 18903 23793 26697 37389 44107 50967 56709 62293 69311 71379 80091 83327 87241 97889 112167 132321 186879 207933 249981 261723 293667 396963 485177 560637 583289 623799 649003 685223 749943 762421 785169 881001 916597 1455531 1749867 1947009 2055669 2287263 2749791 4366593 4543021 5097509 5249601 5336947 5841027 6167007 6416179 6861789 7139033 8249373 10082567 13629063 15292527 16010841 19248537 21417099 30247701 35682563 40887189 45877581 48032523 49973231 56072599 57745611 64251297 70577969 78529363 90743103 107047689 149919693 168217797 211733907 235588089 321143067 392508193 449759079 504653391 525043427 549705541 616798589 635201721 706764267 1177524579 1575130281 1649116623 1850395767 3532573737 3675303989 4317590123 4725390843 4947349869 5551187301 5775477697 11025911967 12952770369 17326433091 33077735901 38858311107 40428343879 51979299273 63530254667 121285031637 190590764001 363855094911 444711782669 571772292003 1334135348007 4002406044021