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154142006513406 = 23378926960747779
BaseRepresentation
bin100011000011000011111011…
…100010110000111011111110
3202012202211110110110211001020
4203003003323202300323332
5130200430312131412111
61303455505450325010
744316251421206232
oct4303037342607376
9665684413424036
10154142006513406
114512929222620a
1215355906129766
1368016b4b41572
142a0c72765a5c2
1512c48c2358906
hex8c30fb8b0efe

154142006513406 has 128 divisors (see below), whose sum is σ = 321899899392000. Its totient is φ = 49164378430464.

The previous prime is 154142006513401. The next prime is 154142006513437. The reversal of 154142006513406 is 604315600241451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154142006513401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3226121625 + ... + 3226169403.

It is an arithmetic number, because the mean of its divisors is an integer number (2514842964000).

Almost surely, 2154142006513406 is an apocalyptic number.

154142006513406 is an abundant number, since it is smaller than the sum of its proper divisors (167757892878594).

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

154142006513406 is a wasteful number, since it uses less digits than its factorization.

154142006513406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48786.

The product of its (nonzero) digits is 345600, while the sum is 42.

Adding to 154142006513406 its reverse (604315600241451), we get a palindrome (758457606754857).

The spelling of 154142006513406 in words is "one hundred fifty-four trillion, one hundred forty-two billion, six million, five hundred thirteen thousand, four hundred six".

Divisors: 1 2 3 6 37 74 89 111 178 222 267 269 534 538 607 807 1214 1614 1821 3293 3642 6586 9879 9953 19758 19906 22459 23941 29859 44918 47779 47882 54023 59718 67377 71823 95558 108046 134754 143337 143646 162069 163283 286674 324138 326566 489849 885817 979698 1767823 1771634 1998851 2657451 3535646 3997702 4252331 5303469 5314902 5996553 6041471 8504662 10606938 11993106 12082942 12756993 12852551 14532187 18124413 25513986 25705102 29001853 29064374 36248826 38557653 43596561 58003706 77115306 87005559 87193122 157336247 174011118 314672494 472008741 475544387 537690919 944017482 951088774 1073068561 1075381838 1143877039 1426633161 1613072757 2146137122 2287754078 2581164917 2853266322 3219205683 3226145514 3431631117 5162329834 6438411366 6863262234 7743494751 7801498457 15486989502 15602996914 23404495371 42323450443 46808990742 84646900886 95503101929 126970351329 191006203858 253940702658 286509305787 288655442909 573018611574 577310885818 694333362673 865966328727 1388666725346 1731932657454 2083000088019 4166000176038 25690334418901 51380668837802 77071003256703 154142006513406