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1231451135040 = 26357183251657
BaseRepresentation
bin10001111010111000001…
…101010001110001000000
311100201120221120022101210
4101322320031101301000
5130134002442310130
62341415411330120
7154653335640210
oct21727015216100
94321527508353
101231451135040
1143528a075385
1217a7b65b0940
138c1824c3499
1443861596240
1522075e0a5b0
hex11eb8351c40

1231451135040 has 112 divisors (see below), whose sum is σ = 4468408428672. Its totient is φ = 281474543616.

The previous prime is 1231451135021. The next prime is 1231451135041. The reversal of 1231451135040 is 405311541321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1231451134989 and 1231451135007.

It is not an unprimeable number, because it can be changed into a prime (1231451135041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91619109 + ... + 91632548.

Almost surely, 21231451135040 is an apocalyptic number.

1231451135040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1231451135040 is an abundant number, since it is smaller than the sum of its proper divisors (3236957293632).

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

1231451135040 is a wasteful number, since it uses less digits than its factorization.

1231451135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183251684 (or 183251674 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1231451135040 its reverse (405311541321), we get a palindrome (1636762676361).

The spelling of 1231451135040 in words is "one trillion, two hundred thirty-one billion, four hundred fifty-one million, one hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 183251657 366503314 549754971 733006628 916258285 1099509942 1282761599 1466013256 1832516570 2199019884 2565523198 2748774855 2932026512 3665033140 3848284797 4398039768 5131046396 5497549710 5864053024 6413807995 7330066280 7696569594 8796079536 10262092792 10995099420 11728106048 12827615990 14660132560 15393139188 17592159072 19241423985 20524185584 21990198840 25655231980 29320265120 30786278376 35184318144 38482847970 41048371168 43980397680 51310463960 58640530240 61572556752 76965695940 82096742336 87960795360 102620927920 123145113504 153931391880 175921590720 205241855840 246290227008 307862783760 410483711680 615725567520 1231451135040