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144074626470441 = 331723109211593387
BaseRepresentation
bin100000110000100011111100…
…111011101001001000101001
3200220010101210102210201202000
4200300203330323221020221
5122341004313334023231
61230230545241201213
742230022360602652
oct4060437473511051
9626111712721660
10144074626470441
11419a7784696677
12141aa764a90209
1362512432ab344
14278136b870529
15119caa1d286e6
hex8308fcee9229

144074626470441 has 128 divisors (see below), whose sum is σ = 239117325004800. Its totient is φ = 85269853025280.

The previous prime is 144074626470413. The next prime is 144074626470457.

144074626470441 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 7 + 4 + 626 + 4 + 7 + 0 + 4 + 4 + 1 = 666.

144074626470441 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-144074626470441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144074626470491) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242503750 + ... + 243097136.

It is an arithmetic number, because the mean of its divisors is an integer number (1868104101600).

Almost surely, 2144074626470441 is an apocalyptic number.

It is an amenable number.

144074626470441 is a deficient number, since it is larger than the sum of its proper divisors (95042698534359).

144074626470441 is a wasteful number, since it uses less digits than its factorization.

144074626470441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593756 (or 593750 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 144074626470441 in words is "one hundred forty-four trillion, seventy-four billion, six hundred twenty-six million, four hundred seventy thousand, four hundred forty-one".

Divisors: 1 3 9 17 23 27 51 69 109 153 207 211 327 391 459 621 633 981 1173 1853 1899 2507 2943 3519 3587 4853 5559 5697 7521 10557 10761 14559 16677 22563 22999 32283 42619 43677 50031 67689 68997 82501 96849 127857 131031 206991 247503 383571 390983 528977 593387 620973 742509 1150713 1172949 1586931 1780161 2227527 3518847 4760793 5340483 8992609 10087579 10556541 13647901 14282379 16021449 26977827 30262737 40943703 64679183 80933481 90788211 122831109 125204657 194037549 232014317 242800443 272364633 368493327 375613971 582112647 696042951 1099546111 1126841913 1487621209 1746337941 2088128853 2128479169 2879707111 3298638333 3380525739 4462863627 6264386559 6385437507 8639121333 9895914999 13388590881 13647307613 19156312521 25289560553 25917363999 29687744997 40165772643 40941922839 48955020887 57468937563 75868681659 77752091997 122825768517 146865062661 227606044977 232004229421 313888075099 368477305551 440595187983 682818134931 696012688263 941664225297 1321785563949 2088038064789 2824992675891 5336097276683 6264114194367 8474978027673 16008291830049 48024875490147 144074626470441