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1309414454892 = 2232277907144773
BaseRepresentation
bin10011000011011111001…
…011101111011001101100
311122011211100022022110200
4103003133023233121230
5132423140100024032
62441311532033500
7163413340136625
oct23033713573154
94564740268420
101309414454892
11465357361525
12191934302890
13966286aa4cb
1447539a48a4c
15240da6bd47c
hex130df2ef66c

1309414454892 has 72 divisors (see below), whose sum is σ = 3325543328016. Its totient is φ = 434413286784.

The previous prime is 1309414454891. The next prime is 1309414454897. The reversal of 1309414454892 is 2984544149031.

1309414454892 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 4 + 1 + 4 + 4 + 548 + 92 = 666.

It is a super-3 number, since 3×13094144548923 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1309414454891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8972218 + ... + 9116990.

It is an arithmetic number, because the mean of its divisors is an integer number (46188101778).

Almost surely, 21309414454892 is an apocalyptic number.

1309414454892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1309414454892 is an abundant number, since it is smaller than the sum of its proper divisors (2016128873124).

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

1309414454892 is a wasteful number, since it uses less digits than its factorization.

1309414454892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145967 (or 145962 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1309414454892 in words is "one trillion, three hundred nine billion, four hundred fourteen million, four hundred fifty-four thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 277 554 831 907 1108 1662 1814 2493 2721 3324 3628 4986 5442 8163 9972 10884 16326 32652 144773 251239 289546 434319 502478 579092 753717 868638 1004956 1302957 1507434 1737276 2261151 2605914 3014868 4522302 5211828 9044604 40102121 80204242 120306363 131309111 160408484 240612726 262618222 360919089 393927333 481225452 525236444 721838178 787854666 1181781999 1443676356 1575709332 2363563998 4727127996 36372623747 72745247494 109117871241 145490494988 218235742482 327353613723 436471484964 654707227446 1309414454892