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3481042471218 = 2341311315719311
BaseRepresentation
bin110010101001111110010…
…011001100100100110010
3110022210011211112202010000
4302221332103030210302
5424013133333034333
611223100245050430
7506332322540304
oct62517623144462
913283154482100
103481042471218
1111223357a7214
124827960b6a16
131c3351260810
14c06aa479974
156083adcb713
hex32a7e4cc932

3481042471218 has 160 divisors (see below), whose sum is σ = 8480764841472. Its totient is φ = 1060821619200.

The previous prime is 3481042471117. The next prime is 3481042471259. The reversal of 3481042471218 is 8121742401843.

3481042471218 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 0 + 424 + 7 + 1 + 218 = 666.

3481042471218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 373858783 + ... + 373868093.

Almost surely, 23481042471218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481042471218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240382420736).

3481042471218 is an abundant number, since it is smaller than the sum of its proper divisors (4999722370254).

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

3481042471218 is a wasteful number, since it uses less digits than its factorization.

3481042471218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11022 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 3481042471218 in words is "three trillion, four hundred eighty-one billion, forty-two million, four hundred seventy-one thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 113 117 162 226 234 339 351 678 702 1017 1053 1469 1571 2034 2106 2938 3051 3142 4407 4713 6102 8814 9153 9311 9426 13221 14139 18306 18622 20423 26442 27933 28278 39663 40846 42417 55866 61269 79326 83799 84834 118989 121043 122538 127251 167598 177523 183807 237978 242086 251397 254502 355046 363129 367614 502794 532569 551421 726258 754191 1052143 1065138 1089387 1102842 1508382 1597707 1654263 2104286 2178774 2307799 3156429 3195414 3268161 3308526 4615598 4793121 6312858 6536322 6923397 9469287 9586242 9804483 13677859 13846794 14379363 14627581 18938574 19608966 20770191 27355718 28407861 28758726 29255162 41033577 41540382 43882743 56815722 62310573 82067154 85223583 87765486 123100731 124621146 131648229 170447166 186931719 190158553 246201462 263296458 369302193 373863438 380317106 394944687 570475659 738604386 789889374 1107906579 1140951318 1184834061 1652916653 1711426977 2215813158 2369668122 3305833306 3422853954 4958749959 5134280931 9917499918 10268561862 14876249877 15402842793 21487916489 29752499754 30805685586 42975832978 44628749631 64463749467 89257499262 128927498934 133886248893 193391248401 267772497786 386782496802 580173745203 1160347490406 1740521235609 3481042471218