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1345544125240 = 235797191259379
BaseRepresentation
bin10011100101001000101…
…011011111101100111000
311202122002021122201210111
4103211020223133230320
5134021133244001430
62510045012154104
7166132560232540
oct23451053375470
94678067581714
101345544125240
11479707642617
12198938008934
1399b6596ca83
14491a61b8320
15250024e5c2a
hex13948adfb38

1345544125240 has 128 divisors (see below), whose sum is σ = 3513955737600. Its totient is φ = 454181253120.

The previous prime is 1345544125171. The next prime is 1345544125241. The reversal of 1345544125240 is 425214455431.

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 = 1345544125193 and 1345544125202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345544125241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5057871 + ... + 5317249.

It is an arithmetic number, because the mean of its divisors is an integer number (27452779200).

Almost surely, 21345544125240 is an apocalyptic number.

1345544125240 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 1345544125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756977868800).

1345544125240 is an abundant number, since it is smaller than the sum of its proper divisors (2168411612360).

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

1345544125240 is a wasteful number, since it uses less digits than its factorization.

1345544125240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259685 (or 259681 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 1345544125240 in words is "one trillion, three hundred forty-five billion, five hundred forty-four million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 191 194 280 382 388 485 679 764 776 955 970 1337 1358 1528 1910 1940 2674 2716 3395 3820 3880 5348 5432 6685 6790 7640 10696 13370 13580 18527 26740 27160 37054 53480 74108 92635 129689 148216 185270 259378 259379 370540 518756 518758 648445 741080 1037512 1037516 1296890 1296895 1815653 2075032 2593780 2593790 3631306 5187560 5187580 7262612 9078265 10375160 14525224 18156530 25159763 36313060 49541389 50319526 72626120 99082778 100639052 125798815 176118341 198165556 201278104 247706945 251597630 346789723 352236682 396331112 495413890 503195260 693579446 704473364 880591705 990827780 1006390520 1387158892 1408946728 1733948615 1761183410 1981655560 2774317784 3467897230 3522366820 4805514733 6935794460 7044733640 9611029466 13871588920 19222058932 24027573665 33638603131 38444117864 48055147330 67277206262 96110294660 134554412524 168193015655 192220589320 269108825048 336386031310 672772062620 1345544125240