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1410140242100 = 2252151106987359
BaseRepresentation
bin10100100001010010111…
…010001000000010110100
311222210211002122110121002
4110201102322020002310
5141100431400221400
62555450503142432
7203610406201052
oct24412272100264
94883732573532
101410140242100
114a404544a267
121a9365144a18
13a2c8b687925
144c3732371d2
1526a334c0ed5
hex14852e880b4

1410140242100 has 72 divisors (see below), whose sum is σ = 3083185996800. Its totient is φ = 559790064000.

The previous prime is 1410140242057. The next prime is 1410140242111. The reversal of 1410140242100 is 12420410141.

It is a super-2 number, since 2×14101402421002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16098221 + ... + 16185579.

Almost surely, 21410140242100 is an apocalyptic number.

1410140242100 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 1410140242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541592998400).

1410140242100 is an abundant number, since it is smaller than the sum of its proper divisors (1673045754700).

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

1410140242100 is a wasteful number, since it uses less digits than its factorization.

1410140242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88593 (or 88586 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1410140242100 its reverse (12420410141), we get a palindrome (1422560652241).

The spelling of 1410140242100 in words is "one trillion, four hundred ten billion, one hundred forty million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 1069 1510 2138 3020 3775 4276 5345 7550 10690 15100 21380 26725 53450 87359 106900 161419 174718 322838 349436 436795 645676 807095 873590 1614190 1747180 2183975 3228380 4035475 4367950 8070950 8735900 13191209 16141900 26382418 52764836 65956045 93386771 131912090 186773542 263824180 329780225 373547084 466933855 659560450 933867710 1319120900 1867735420 2334669275 4669338550 9338677100 14101402421 28202804842 56405609684 70507012105 141014024210 282028048420 352535060525 705070121050 1410140242100