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1345450516240 = 2456110115311783
BaseRepresentation
bin10011100101000011000…
…110011001111100010000
311202121211202111220101111
4103211003012121330100
5134020440313004430
62510031425543104
7166130342456155
oct23450306317420
94677752456344
101345450516240
11479669816806
121989107a4a94
1399b4c45622c
14491979ac22c
1524ee91a4c2a
hex13943199f10

1345450516240 has 160 divisors (see below), whose sum is σ = 3214833023232. Its totient is φ = 523480320000.

The previous prime is 1345450516229. The next prime is 1345450516303. The reversal of 1345450516240 is 426150545431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1345450516193 and 1345450516202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754598389 + ... + 754600171.

Almost surely, 21345450516240 is an apocalyptic number.

1345450516240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345450516240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607416511616).

1345450516240 is an abundant number, since it is smaller than the sum of its proper divisors (1869382506992).

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

1345450516240 is a wasteful number, since it uses less digits than its factorization.

1345450516240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 1345450516240 in words is "one trillion, three hundred forty-five billion, four hundred fifty million, five hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 101 122 202 244 305 404 488 505 610 808 976 1010 1220 1531 1616 1783 2020 2440 3062 3566 4040 4880 6124 6161 7132 7655 8080 8915 12248 12322 14264 15310 17830 24496 24644 28528 30620 30805 35660 49288 61240 61610 71320 93391 98576 108763 122480 123220 142640 154631 180083 186782 217526 246440 309262 360166 373564 435052 466955 492880 543815 618524 720332 747128 773155 870104 900415 933910 1087630 1237048 1440664 1494256 1546310 1740208 1800830 1867820 2175260 2474096 2729773 2881328 3092620 3601660 3735640 4350520 5459546 6185240 7203320 7471280 8701040 9432491 10919092 10985063 12370480 13648865 14406640 18864982 21838184 21970126 27297730 37729964 43676368 43940252 47162455 54595460 54925315 75459928 87880504 94324910 109190920 109850630 150919856 166516153 175761008 188649820 218381840 219701260 275707073 333032306 377299640 439402520 551414146 666064612 754599280 832580765 878805040 1102828292 1332129224 1378535365 1665161530 2205656584 2664258448 2757070730 3330323060 4411313168 5514141460 6660646120 11028282920 13321292240 16818131453 22056565840 33636262906 67272525812 84090657265 134545051624 168181314530 269090103248 336362629060 672725258120 1345450516240