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261454606140 = 2235713223214733
BaseRepresentation
bin1111001101111111101…
…0001010111100111100
3220222212012222010202010
43303133322022330330
513240424334344030
6320035515331220
724614042324640
oct3633772127474
9828765863663
10261454606140
11a09783443a2
1242808750b10
131b869236950
14c923c1cc20
156c037566b0
hex3cdfe8af3c

261454606140 has 192 divisors, whose sum is σ = 905057427456. Its totient is φ = 54916420608.

The previous prime is 261454606031. The next prime is 261454606163. The reversal of 261454606140 is 41606454162.

It is a super-2 number, since 2×2614546061402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1110214 + ... + 1324946.

It is an arithmetic number, because the mean of its divisors is an integer number (4713840768).

Almost surely, 2261454606140 is an apocalyptic number.

261454606140 is a gapful number since it is divisible by the number (20) 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 261454606140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452528713728).

261454606140 is an abundant number, since it is smaller than the sum of its proper divisors (643602821316).

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

261454606140 is a wasteful number, since it uses less digits than its factorization.

261454606140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214988 (or 214986 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 261454606140 in words is "two hundred sixty-one billion, four hundred fifty-four million, six hundred six thousand, one hundred forty".