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141411004400 = 24521009335027
BaseRepresentation
bin1000001110110011000…
…0001010111111110000
3111112000011202022220102
42003230300022333300
54304102204120100
6144544024331532
713134203463521
oct2035460127760
9445004668812
10141411004400
1154a76909686
12234a6313ba8
1310447cc4543
146bb6ba6848
153a29a3bcd5
hex20ecc0aff0

141411004400 has 60 divisors (see below), whose sum is σ = 339783299352. Its totient is φ = 56557182720.

The previous prime is 141411004349. The next prime is 141411004411. The reversal of 141411004400 is 4400114141.

It is a happy number.

141411004400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 4019687 + ... + 4054713.

Almost surely, 2141411004400 is an apocalyptic number.

141411004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141411004400 is an abundant number, since it is smaller than the sum of its proper divisors (198372294952).

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

141411004400 is a wasteful number, since it uses less digits than its factorization.

141411004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45138 (or 45127 counting only the distinct ones).

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

Adding to 141411004400 its reverse (4400114141), we get a palindrome (145811118541).

The spelling of 141411004400 in words is "one hundred forty-one billion, four hundred eleven million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 10093 20186 35027 40372 50465 70054 80744 100930 140108 161488 175135 201860 252325 280216 350270 403720 504650 560432 700540 807440 875675 1009300 1401080 1751350 2018600 2802160 3502700 4037200 7005400 14010800 353527511 707055022 1414110044 1767637555 2828220088 3535275110 5656440176 7070550220 8838187775 14141100440 17676375550 28282200880 35352751100 70705502200 141411004400