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7142444153118 = 2341916325215647
BaseRepresentation
bin110011111101111101011…
…0110001011100100011110
3221021210220012202200220000
41213323322312023210132
51414010211200344433
623105105450035130
71335011265406311
oct147737266134436
927253805680800
107142444153118
11230410358093a
12974306118aa6
133ca6b6695271
141a99a62d8978
15c5bd0cb9113
hex67efad8b91e

7142444153118 has 160 divisors (see below), whose sum is σ = 16959780963840. Its totient is φ = 2240385194880.

The previous prime is 7142444153101. The next prime is 7142444153123. The reversal of 7142444153118 is 8113514442417.

It is a happy number.

7142444153118 is a `hidden beast` number, since 7 + 1 + 42 + 4 + 441 + 53 + 118 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1264818171 + ... + 1264823817.

It is an arithmetic number, because the mean of its divisors is an integer number (105998631024).

Almost surely, 27142444153118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142444153118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8479890481920).

7142444153118 is an abundant number, since it is smaller than the sum of its proper divisors (9817336810722).

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

7142444153118 is a wasteful number, since it uses less digits than its factorization.

7142444153118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8355 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 7142444153118 in words is "seven trillion, one hundred forty-two billion, four hundred forty-four million, one hundred fifty-three thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 163 171 326 342 489 513 978 1026 1467 1539 2521 2934 3078 3097 4401 5042 5647 6194 7563 8802 9291 11294 13203 15126 16941 18582 22689 26406 27873 33882 45378 47899 50823 55746 68067 83619 95798 101646 107293 136134 143697 152469 167238 204201 214586 250857 287394 304938 321879 408402 410923 431091 457407 501714 643758 821846 862182 914814 920461 965637 1232769 1293273 1840922 1931274 2465538 2586546 2761383 2896911 3698307 3879819 5522766 5793822 7396614 7759638 7807537 8284149 8690733 11094921 14236087 15615074 16568298 17381466 17488759 22189842 23422611 24852447 28472174 33284763 34977518 42708261 46845222 49704894 52466277 66569526 70267833 74557341 85416522 104932554 128124783 140535666 149114682 157398831 210803499 256249566 270485653 314797662 384374349 421606998 472196493 540971306 632410497 768748698 811456959 944392986 1153123047 1264820994 1416589479 1622913918 2306246094 2320482181 2434370877 2833178958 4640964362 4868741754 6961446543 7303112631 13922893086 14606225262 20884339629 21909337893 41768679258 43818675786 44089161439 62653018887 88178322878 125306037774 132267484317 187959056661 264534968634 375918113322 396802452951 793604905902 1190407358853 2380814717706 3571222076559 7142444153118