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2153456003140 = 2251333599246511
BaseRepresentation
bin11111010101100011111…
…110101110100001000100
321121212110001101111212221
4133111203332232201010
5240240234214100030
64325141203422124
7311403435003151
oct37254376564104
97555401344787
102153456003140
11760303856282
122a9430084944
131280bab172b0
1476329229228
153b03a1c7e7a
hex1f563fae844

2153456003140 has 48 divisors (see below), whose sum is σ = 4870288281600. Its totient is φ = 795095326080.

The previous prime is 2153456003099. The next prime is 2153456003203. The reversal of 2153456003140 is 413006543512.

It is a junction number, because it is equal to n+sod(n) for n = 2153456003096 and 2153456003105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8612485 + ... + 8858995.

It is an arithmetic number, because the mean of its divisors is an integer number (101464339200).

Almost surely, 22153456003140 is an apocalyptic number.

2153456003140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153456003140 is an abundant number, since it is smaller than the sum of its proper divisors (2716832278460).

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

2153456003140 is a wasteful number, since it uses less digits than its factorization.

2153456003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280132 (or 280130 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 2153456003140 in words is "two trillion, one hundred fifty-three billion, four hundred fifty-six million, three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 33599 67198 134396 167995 246511 335990 436787 493022 671980 873574 986044 1232555 1747148 2183935 2465110 3204643 4367870 4930220 6409286 8735740 12818572 16023215 32046430 64092860 8282523089 16565046178 33130092356 41412615445 82825230890 107672800157 165650461780 215345600314 430691200628 538364000785 1076728001570 2153456003140