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1413471670272 = 2123279748109
BaseRepresentation
bin10100100100011001011…
…110100001000000000000
312000010102021022112220200
4110210121132201000000
5141124242221422042
63001201231205200
7204056100650454
oct24443136410000
95003367275820
101413471670272
114a54a49aa592
121a9b34976800
13a339c921cbc
144c5ab874664
1526b7abd0c4c
hex149197a1000

1413471670272 has 156 divisors (see below), whose sum is σ = 4088071909740. Its totient is φ = 470556278784.

The previous prime is 1413471670271. The next prime is 1413471670297. The reversal of 1413471670272 is 2720761743141.

1413471670272 is a `hidden beast` number, since 1 + 41 + 3 + 471 + 6 + 70 + 2 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 737235173376 + 676236496896 = 858624^2 + 822336^2 .

It is not an unprimeable number, because it can be changed into a prime (1413471670271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29356554 + ... + 29404662.

It is an arithmetic number, because the mean of its divisors is an integer number (26205589165).

Almost surely, 21413471670272 is an apocalyptic number.

1413471670272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413471670272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044035954870).

1413471670272 is an abundant number, since it is smaller than the sum of its proper divisors (2674600239468).

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

1413471670272 is an equidigital number, since it uses as much as digits as its factorization.

1413471670272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48936 (or 48911 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 1413471670272 in words is "one trillion, four hundred thirteen billion, four hundred seventy-one million, six hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 797 1024 1152 1536 1594 2048 2304 2391 3072 3188 4096 4608 4782 6144 6376 7173 9216 9564 12288 12752 14346 18432 19128 25504 28692 36864 38256 48109 51008 57384 76512 96218 102016 114768 144327 153024 192436 204032 229536 288654 306048 384872 408064 432981 459072 577308 612096 769744 816128 865962 918144 1154616 1224192 1539488 1632256 1731924 1836288 2309232 2448384 3078976 3264512 3463848 3672576 4618464 4896768 6157952 6927696 7345152 9236928 9793536 12315904 13855392 14690304 18473856 24631808 27710784 29380608 36947712 38342873 49263616 55421568 73895424 76685746 98527232 110843136 115028619 147790848 153371492 197054464 221686272 230057238 295581696 306742984 345085857 443372544 460114476 591163392 613485968 690171714 886745088 920228952 1226971936 1380343428 1773490176 1840457904 2453943872 2760686856 3680915808 4907887744 5521373712 7361831616 9815775488 11042747424 14723663232 19631550976 22085494848 29447326464 39263101952 44170989696 58894652928 78526203904 88341979392 117789305856 157052407808 176683958784 235578611712 353367917568 471157223424 706735835136 1413471670272