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1004140221414 = 231147323707357
BaseRepresentation
bin11101001110010110110…
…10111101001111100110
310112222212020222110112220
432213023122331033212
5112422434344041124
62045143505453210
7132355350024261
oct16471332751746
93488766873486
101004140221414
11357942a82590
12142738641206
13738c7c742b5
143685a25bcd8
151b1bee88879
hexe9cb6bd3e6

1004140221414 has 32 divisors (see below), whose sum is σ = 2237465258496. Its totient is φ = 297810767520.

The previous prime is 1004140221397. The next prime is 1004140221419. The reversal of 1004140221414 is 4141220414001.

It is a super-2 number, since 2×10041402214142 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004140221419) 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, 161850577 + ... + 161856780.

It is an arithmetic number, because the mean of its divisors is an integer number (69920789328).

Almost surely, 21004140221414 is an apocalyptic number.

1004140221414 is an abundant number, since it is smaller than the sum of its proper divisors (1233325037082).

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

1004140221414 is a wasteful number, since it uses less digits than its factorization.

1004140221414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323707420.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1004140221414 its reverse (4141220414001), we get a palindrome (5145360635415).

The spelling of 1004140221414 in words is "one trillion, four billion, one hundred forty million, two hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 3102 323707357 647414714 971122071 1942244142 3560780927 7121561854 10682342781 15214245779 21364685562 30428491558 45642737337 91285474674 167356703569 334713407138 502070110707 1004140221414