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1261038042171 = 341743533891033
BaseRepresentation
bin10010010110011011101…
…110010111110000111011
311110112221220112220220000
4102112123232113300323
5131130101214322141
62403151325404043
7160051461333525
oct22263356276073
94415856486800
101261038042171
11446892110646
12184493109623
1391bb911171b
144506abcca15
1522c086365b6
hex1259bb97c3b

1261038042171 has 160 divisors (see below), whose sum is σ = 2086841465280. Its totient is φ = 755575382016.

The previous prime is 1261038042169. The next prime is 1261038042193. The reversal of 1261038042171 is 1712408301621.

1261038042171 is a `hidden beast` number, since 1 + 2 + 61 + 0 + 380 + 4 + 217 + 1 = 666.

It is not a de Polignac number, because 1261038042171 - 21 = 1261038042169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1261038042371) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1220752671 + ... + 1220753703.

It is an arithmetic number, because the mean of its divisors is an integer number (13042759158).

Almost surely, 21261038042171 is an apocalyptic number.

1261038042171 is a deficient number, since it is larger than the sum of its proper divisors (825803423109).

1261038042171 is a wasteful number, since it uses less digits than its factorization.

1261038042171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1261038042171 in words is "one trillion, two hundred sixty-one billion, thirty-eight million, forty-two thousand, one hundred seventy-one".

Divisors: 1 3 9 17 27 43 51 53 81 129 153 159 387 389 459 477 731 901 1033 1161 1167 1377 1431 2193 2279 2703 3099 3483 3501 4293 6579 6613 6837 8109 9297 10503 16727 17561 19737 19839 20511 20617 24327 27891 31509 38743 44419 50181 52683 54749 59211 59517 61533 61851 72981 83673 116229 133257 150543 158049 164247 178551 184599 185553 284359 348687 350489 399771 401837 451629 474147 492741 535653 556659 755123 853077 886531 930733 1046061 1051467 1199313 1205511 1354887 1422441 1478223 1669977 2265369 2354207 2559231 2659593 2792199 3138183 3154401 3597939 3616533 4434669 6796107 6831229 7062621 7677693 7978779 8376597 9463203 10849599 15071027 17278991 20388321 20493687 21187863 21297361 23033079 23936337 25129791 28389609 32548797 40021519 45213081 51836973 61164963 61481061 63563589 63892083 71809011 75389373 120064557 135639243 155510919 184443183 190690767 191676249 293742847 360193671 362055137 406917729 466532757 553329549 575028747 881228541 915786523 1080581013 1086165411 1220753187 1399598271 1725086241 2643685623 2747359569 3241743039 3258496233 7931056869 8242078707 9775488699 15568370891 23793170607 24726236121 29326466097 46705112673 74178708363 140115338019 420346014057 1261038042171