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411214132140 = 223571929271863
BaseRepresentation
bin1011111101111100100…
…01011011001110101100
31110022102012221022022020
411332332101123032230
523214131304212030
6512524213550140
741465161310550
oct5767621331654
91408365838266
10411214132140
111494387258a9
1267842945350
132ca14a2a5a6
1415c8d693860
15aa6b184510
hex5fbe45b3ac

411214132140 has 576 divisors, whose sum is σ = 1456443555840. Its totient is φ = 84665226240.

The previous prime is 411214132037. The next prime is 411214132157. The reversal of 411214132140 is 41231412114.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 411214132140.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 476493349 + ... + 476494211.

It is an arithmetic number, because the mean of its divisors is an integer number (2528547840).

Almost surely, 2411214132140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411214132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728221777920).

411214132140 is an abundant number, since it is smaller than the sum of its proper divisors (1045229423700).

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

411214132140 is a wasteful number, since it uses less digits than its factorization.

411214132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 411214132140 its reverse (41231412114), we get a palindrome (452445544254).

The spelling of 411214132140 in words is "four hundred eleven billion, two hundred fourteen million, one hundred thirty-two thousand, one hundred forty".