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1234331225040 = 243517302532163
BaseRepresentation
bin10001111101100011110…
…111111100101111010000
311101000000122222001010210
4101331203313330233100
5130210402243200130
62343013253524120
7155114610205104
oct21754367745720
94330018861123
101234331225040
11436527885651
1217b27b043640
138c5210b2a54
1443a55ca7904
1522193bb55b0
hex11f63dfcbd0

1234331225040 has 80 divisors (see below), whose sum is σ = 4051510740288. Its totient is φ = 309792933888.

The previous prime is 1234331224991. The next prime is 1234331225051. The reversal of 1234331225040 is 405221334321.

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 = 1234331224989 and 1234331225007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151262002 + ... + 151270161.

Almost surely, 21234331225040 is an apocalyptic number.

1234331225040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1234331225040 is an abundant number, since it is smaller than the sum of its proper divisors (2817179515248).

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

1234331225040 is a wasteful number, since it uses less digits than its factorization.

1234331225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302532196 (or 302532190 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1234331225040 its reverse (405221334321), we get a palindrome (1639552559361).

The spelling of 1234331225040 in words is "one trillion, two hundred thirty-four billion, three hundred thirty-one million, two hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 302532163 605064326 907596489 1210128652 1512660815 1815192978 2420257304 3025321630 3630385956 4537982445 4840514608 5143046771 6050643260 7260771912 9075964890 10286093542 12101286520 14521543824 15429140313 18151929780 20572187084 24202573040 25715233855 30858280626 36303859560 41144374168 51430467710 61716561252 72607719120 77145701565 82288748336 102860935420 123433122504 154291403130 205721870840 246866245008 308582806260 411443741680 617165612520 1234331225040