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13353034121040 = 243557796425723
BaseRepresentation
bin1100001001001111111011…
…0110101111111101010000
31202021112111220111001020210
43002103332312233331100
53222234003213333130
644222144343004120
72545503430203525
oct302237666577520
952245456431223
1013353034121040
114288a98715099
1215b7aa8139640
1375b255026c23
1434240c82314c
15182522c6e5b0
hexc24fedaff50

13353034121040 has 80 divisors (see below), whose sum is σ = 41466146943168. Its totient is φ = 3554637815808.

The previous prime is 13353034121017. The next prime is 13353034121041. The reversal of 13353034121040 is 4012143035331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 13353034120989 and 13353034121007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13353034121041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48074382 + ... + 48351341.

Almost surely, 213353034121040 is an apocalyptic number.

13353034121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13353034121040 is an abundant number, since it is smaller than the sum of its proper divisors (28113112822128).

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

13353034121040 is a wasteful number, since it uses less digits than its factorization.

13353034121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96426316 (or 96426310 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 13353034121040 its reverse (4012143035331), we get a palindrome (17365177156371).

The spelling of 13353034121040 in words is "thirteen trillion, three hundred fifty-three billion, thirty-four million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 577 1154 1731 2308 2885 3462 4616 5770 6924 8655 9232 11540 13848 17310 23080 27696 34620 46160 69240 138480 96425723 192851446 289277169 385702892 482128615 578554338 771405784 964257230 1157108676 1446385845 1542811568 1928514460 2314217352 2892771690 3857028920 4628434704 5785543380 7714057840 11571086760 23142173520 55637642171 111275284342 166912926513 222550568684 278188210855 333825853026 445101137368 556376421710 667651706052 834564632565 890202274736 1112752843420 1335303412104 1669129265130 2225505686840 2670606824208 3338258530260 4451011373680 6676517060520 13353034121040