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1450408448448 = 26332400734963
BaseRepresentation
bin10101000110110011000…
…101001001000111000000
312010122202110101022001000
4111012303011021013000
5142230414030322243
63030150342412000
7206534321252421
oct25066305110700
95118673338030
101450408448448
1150a129836743
121b5122a31000
13a6a0818576b
14502b329d648
1527add7d65d3
hex151b31491c0

1450408448448 has 112 divisors (see below), whose sum is σ = 4264231816960. Its totient is φ = 483435516672.

The previous prime is 1450408448431. The next prime is 1450408448453. The reversal of 1450408448448 is 8448448040541.

1450408448448 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 40 + 84 + 484 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1450408448394 and 1450408448403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41466615 + ... + 41501577.

Almost surely, 21450408448448 is an apocalyptic number.

1450408448448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1450408448448 is an abundant number, since it is smaller than the sum of its proper divisors (2813823368512).

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

1450408448448 is a wasteful number, since it uses less digits than its factorization.

1450408448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58991 (or 58975 counting only the distinct ones).

The product of its (nonzero) digits is 10485760, while the sum is 54.

The spelling of 1450408448448 in words is "one trillion, four hundred fifty billion, four hundred eight million, four hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 24007 34963 48014 69926 72021 96028 104889 139852 144042 192056 209778 216063 279704 288084 314667 384112 419556 432126 559408 576168 629334 648189 768224 839112 864252 944001 1118816 1152336 1258668 1296378 1536448 1678224 1728504 1888002 2237632 2304672 2517336 2592756 3356448 3457008 3776004 4609344 5034672 5185512 6712896 6914016 7552008 10069344 10371024 13828032 15104016 20138688 20742048 30208032 41484096 60416064 839356741 1678713482 2518070223 3357426964 5036140446 6714853928 7554210669 10072280892 13429707856 15108421338 20144561784 22662632007 26859415712 30216842676 40289123568 45325264014 53718831424 60433685352 80578247136 90650528028 120867370704 161156494272 181301056056 241734741408 362602112112 483469482816 725204224224 1450408448448