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3481034135481 = 3373836317177
BaseRepresentation
bin110010101001111101110…
…011011001011110111001
3110022210011020212020122000
4302221331303121132321
5424013124214313411
611223055350251213
7506332161642000
oct62517563313671
913283136766560
103481034135481
111122331023481
12482793356b09
131c334c602626
14c06a9309c37
156083a2d1956
hex32a7dcd97b9

3481034135481 has 128 divisors (see below), whose sum is σ = 6097050624000. Its totient is φ = 1961808750720.

The previous prime is 3481034135479. The next prime is 3481034135507. The reversal of 3481034135481 is 1845314301843.

3481034135481 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 0 + 34 + 135 + 481 = 666.

It is not a de Polignac number, because 3481034135481 - 21 = 3481034135479 is a prime.

It is a super-2 number, since 2×34810341354812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3481034135401) 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, 485022765 + ... + 485029941.

It is an arithmetic number, because the mean of its divisors is an integer number (47633208000).

Almost surely, 23481034135481 is an apocalyptic number.

It is an amenable number.

3481034135481 is a deficient number, since it is larger than the sum of its proper divisors (2616016488519).

3481034135481 is an equidigital number, since it uses as much as digits as its factorization.

3481034135481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7921 (or 7901 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3481034135481 in words is "three trillion, four hundred eighty-one billion, thirty-four million, one hundred thirty-five thousand, four hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 83 147 189 249 343 441 581 631 747 1029 1323 1743 1893 2241 3087 4067 4417 5229 5679 7177 9261 12201 13251 15687 17037 21531 28469 30919 36603 39753 50239 52373 64593 85407 92757 109809 119259 150717 157119 193779 216433 256221 278271 351673 366611 452151 471357 595691 649299 768663 834813 1055019 1099833 1356453 1414071 1787073 1947897 2461711 2566277 3165057 3299499 4169837 4528687 5361219 5843691 7385133 7698831 9495171 9898497 12509511 13586061 16083657 17963939 22155399 23096493 29188859 31700809 37528533 40758183 53891817 66466197 69289479 87566577 95102427 112585599 122274549 161675451 204322013 221905663 262699731 285307281 375881021 485026353 612966039 665716989 788099193 855921843 1127643063 1553339641 1838898117 1997150967 2631167147 3382929189 4660018923 5516694351 5991452901 7893501441 10148787567 13980056769 18418170029 23680504323 41940170307 55254510087 71041512969 128927190203 165763530261 386781570609 497290590783 1160344711827 3481034135481