Search a number
-
+
144010426136562 = 232103541769186707
BaseRepresentation
bin100000101111101000001010…
…010010110011011111110010
3200212220021002012112212010100
4200233220022102303133302
5122333431323042332222
61230141250525213230
742222260416013616
oct4057501222633762
9625807065485110
10144010426136562
114198252a2345a7
121419a228401216
1362481815894bb
14277c1db1d9346
15119b09597c4ac
hex82fa0a4b37f2

144010426136562 has 96 divisors (see below), whose sum is σ = 316046427016320. Its totient is φ = 47387595939840.

The previous prime is 144010426136509. The next prime is 144010426136587. The reversal of 144010426136562 is 265631624010441.

144010426136562 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 10 + 42 + 6 + 1 + 36 + 562 = 666.

144010426136562 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 771224413 + ... + 771411119.

It is an arithmetic number, because the mean of its divisors is an integer number (3292150281420).

Almost surely, 2144010426136562 is an apocalyptic number.

144010426136562 is an abundant number, since it is smaller than the sum of its proper divisors (172036000879758).

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

144010426136562 is a wasteful number, since it uses less digits than its factorization.

144010426136562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188128 (or 188125 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 144010426136562 in words is "one hundred forty-four trillion, ten billion, four hundred twenty-six million, one hundred thirty-six thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 18 103 206 309 541 618 769 927 1082 1538 1623 1854 2307 3246 4614 4869 6921 9738 13842 55723 79207 111446 158414 167169 186707 237621 334338 373414 416029 475242 501507 560121 712863 832058 1003014 1120242 1248087 1425726 1680363 2496174 3360726 3744261 7488522 19230821 38461642 42850987 57692463 85701974 101008487 115384926 128552961 143577683 173077389 202016974 257105922 287155366 303025461 346154778 385658883 430733049 606050922 771317766 861466098 909076383 1292199147 1818152766 2584398294 10403874161 14788501349 20807748322 29577002698 31211622483 44365504047 62423244966 77675526503 88731008094 93634867449 133096512141 155351053006 187269734898 233026579509 266193024282 466053159018 699079738527 1398159477054 8000579229809 16001158459618 24001737689427 48003475378854 72005213068281 144010426136562