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403113431040 = 212356561091
BaseRepresentation
bin1011101110110110110…
…11101101000000000000
31102112111200001001110120
411313123123231000000
523101034014243130
6505104315500240
741060345425305
oct5673333550000
91375450031416
10403113431040
11145a61028201
1266161a57680
132c023689828
14157218950ac
15a744de6910
hex5ddb6ed000

403113431040 has 104 divisors (see below), whose sum is σ = 1289805709728. Its totient is φ = 107496898560.

The previous prime is 403113431009. The next prime is 403113431041. The reversal of 403113431040 is 40134311304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 403113431040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403113431041) 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 7 ways as a sum of consecutive naturals, for example, 3219106 + ... + 3341985.

Almost surely, 2403113431040 is an apocalyptic number.

403113431040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

403113431040 is an abundant number, since it is smaller than the sum of its proper divisors (886692278688).

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

403113431040 is an equidigital number, since it uses as much as digits as its factorization.

403113431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6561123 (or 6561101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 403113431040 its reverse (40134311304), we get a palindrome (443247742344).

The spelling of 403113431040 in words is "four hundred three billion, one hundred thirteen million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 20480 30720 61440 6561091 13122182 19683273 26244364 32805455 39366546 52488728 65610910 78733092 98416365 104977456 131221820 157466184 196832730 209954912 262443640 314932368 393665460 419909824 524887280 629864736 787330920 839819648 1049774560 1259729472 1574661840 1679639296 2099549120 2519458944 3149323680 3359278592 4199098240 5038917888 6298647360 6718557184 8398196480 10077835776 12597294720 13437114368 16796392960 20155671552 25194589440 26874228736 33592785920 40311343104 50389178880 67185571840 80622686208 100778357760 134371143680 201556715520 403113431040