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1340041431300 = 22352111331236397
BaseRepresentation
bin10011100000000000101…
…100011000100100000100
311202002212210100220210020
4103200000230120210010
5133423401101300200
62503335002255140
7165546322141215
oct23400054304404
94662783326706
101340041431300
114773434a9180
121978611b74b0
1399499924b60
1448c0345d40c
1524cce392ea0
hex13800b18904

1340041431300 has 144 divisors (see below), whose sum is σ = 4555016501952. Its totient is φ = 299869401600.

The previous prime is 1340041431247. The next prime is 1340041431317. The reversal of 1340041431300 is 31341400431.

It is a super-2 number, since 2×13400414313002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15575299 + ... + 15661098.

Almost surely, 21340041431300 is an apocalyptic number.

1340041431300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340041431300 is an abundant number, since it is smaller than the sum of its proper divisors (3214975070652).

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

1340041431300 is a wasteful number, since it uses less digits than its factorization.

1340041431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31236438 (or 31236431 counting only the distinct ones).

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

Adding to 1340041431300 its reverse (31341400431), we get a palindrome (1371382831731).

The spelling of 1340041431300 in words is "one trillion, three hundred forty billion, forty-one million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 42900 31236397 62472794 93709191 124945588 156181985 187418382 312363970 343600367 374836764 406073161 468545955 624727940 687200734 780909925 812146322 937091910 1030801101 1218219483 1374401468 1561819850 1624292644 1718001835 1874183820 2030365805 2061602202 2342729775 2436438966 3123639700 3436003670 4060731610 4123204404 4466804771 4685459550 4872877932 5154005505 6091097415 6872007340 8121463220 8590009175 8933609542 9370919100 10151829025 10308011010 12182194830 13400414313 17180018350 17867219084 20303658050 20616022020 22334023855 24364389660 25770027525 26800828626 30455487075 34360036700 40607316100 44668047710 51540055050 53601657252 60910974150 67002071565 89336095420 103080110100 111670119275 121821948300 134004143130 223340238550 268008286260 335010357825 446680477100 670020715650 1340041431300