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149208944157 = 3373133139979
BaseRepresentation
bin1000101011110110001…
…0111100111000011101
3112021010121221201021000
42022331202330320131
54421034442203112
6152313505300513
713531352046000
oct2127542747035
9467117851230
10149208944157
1158308617199
1224b01934739
13110bb70b690
1473166b3537
153d344227dc
hex22bd8bce1d

149208944157 has 128 divisors (see below), whose sum is σ = 286576640000. Its totient is φ = 76162887360.

The previous prime is 149208944149. The next prime is 149208944233. The reversal of 149208944157 is 751449802941.

149208944157 is a `hidden beast` number, since 14 + 9 + 208 + 9 + 4 + 415 + 7 = 666.

It is not a de Polignac number, because 149208944157 - 23 = 149208944149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149208944107) 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, 3712194 + ... + 3752172.

It is an arithmetic number, because the mean of its divisors is an integer number (2238880000).

Almost surely, 2149208944157 is an apocalyptic number.

It is an amenable number.

149208944157 is a deficient number, since it is larger than the sum of its proper divisors (137367695843).

149208944157 is a wasteful number, since it uses less digits than its factorization.

149208944157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40053 (or 40033 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 149208944157 in words is "one hundred forty-nine billion, two hundred eight million, nine hundred forty-four thousand, one hundred fifty-seven".

Divisors: 1 3 7 9 13 21 27 31 39 49 63 91 93 117 147 189 217 273 279 343 351 403 441 637 651 819 837 1029 1209 1323 1519 1911 1953 2457 2821 3087 3627 4459 4557 5733 5859 8463 9261 10633 10881 13377 13671 17199 19747 25389 31899 39979 40131 41013 59241 76167 95697 119937 120393 138229 177723 279853 287091 359811 414687 519727 533169 839559 1079433 1239349 1244061 1559181 1958971 2518677 3638089 3718047 3732183 4677543 5876913 7556031 8675443 10914267 11154141 13712797 14032629 16111537 17630739 25466623 26026329 32742801 33462423 41138391 48334611 52892217 60728101 76399869 78078987 98228403 112780759 123415173 145003833 178266361 182184303 229199607 234236961 338342277 370245519 425096707 435011499 534799083 546552909 687598821 789465313 1015026831 1275290121 1604397249 1639658727 2368395939 3045080493 3825870363 4813191747 5526257191 7105187817 11477611089 16578771573 21315563451 49736314719 149208944157