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941480149401 = 312116
BaseRepresentation
bin11011011001101001001…
…01110000000110011001
310100000010101000000000000
431230310211300012121
5110411122404240101
62000302055003213
7125006520141501
oct15546445600631
93300111000000
10941480149401
11333309000000
1213256b969509
136aa203a04cc
14337d43aaa01
1519753e3b486
hexdb34970199

941480149401 has 91 divisors (see below), whose sum is σ = 1553441192437. Its totient is φ = 570594029940.

The previous prime is 941480149399. The next prime is 941480149433. The reversal of 941480149401 is 104941084149.

It is a happy number.

The square root of 941480149401 is 970299.

The cubic root of 941480149401 is 9801.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

941480149401 is a `hidden beast` number, since 94 + 1 + 480 + 1 + 49 + 40 + 1 = 666.

It is not a de Polignac number, because 941480149401 - 21 = 941480149399 is a prime.

It is a super-2 number, since 2×9414801494012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (941480149451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 90 ways as a sum of consecutive naturals, for example, 85589104486 + ... + 85589104496.

Almost surely, 2941480149401 is an apocalyptic number.

941480149401 is the 970299-th square number.

941480149401 is the 485150-th centered octagonal number.

It is an amenable number.

941480149401 is a deficient number, since it is larger than the sum of its proper divisors (611961043036).

941480149401 is an frugal number, since it uses more digits than its factorization.

941480149401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 941480149401 in words is "nine hundred forty-one billion, four hundred eighty million, one hundred forty-nine thousand, four hundred one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 1331 2187 2673 3267 3993 6561 8019 9801 11979 14641 19683 24057 29403 35937 43923 59049 72171 88209 107811 131769 161051 177147 216513 264627 323433 395307 483153 531441 649539 793881 970299 1185921 1449459 1771561 1948617 2381643 2910897 3557763 4348377 5314683 5845851 7144929 8732691 10673289 13045131 15944049 21434787 26198073 32019867 39135393 47832147 64304361 78594219 96059601 117406179 143496441 235782657 288178803 352218537 430489323 707347971 864536409 1056655611 1291467969 2593609227 3169966833 3874403907 7780827681 9509900499 11623211721 28529701497 34869635163 85589104491 104608905489 313826716467 941480149401