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141400400000 = 2755353501
BaseRepresentation
bin1000001110110000011…
…1101110000010000000
3111111222102210120101212
42003230013232002000
54304042000300000
6144543005145252
713134014366066
oct2035407560200
9444872716355
10141400400000
1154a70926412
12234a285b228
1310445a50852
146bb5606036
153a28b44c35
hex20ec1ee080

141400400000 has 96 divisors (see below), whose sum is σ = 352098597060. Its totient is φ = 56560000000.

The previous prime is 141400399997. The next prime is 141400400059. The reversal of 141400400000 is 4004141.

It can be written as a sum of positive squares in 6 ways, for example, as 7086945856 + 134313454144 = 84184^2 + 366488^2 .

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, 223250 + ... + 576750.

Almost surely, 2141400400000 is an apocalyptic number.

141400400000 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 141400400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176049298530).

141400400000 is an abundant number, since it is smaller than the sum of its proper divisors (210698197060).

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

141400400000 is an frugal number, since it uses more digits than its factorization.

141400400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353540 (or 353508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 141400400000 its reverse (4004141), we get a palindrome (141404404141).

The spelling of 141400400000 in words is "one hundred forty-one billion, four hundred million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 353501 400000 707002 1414004 1767505 2828008 3535010 5656016 7070020 8837525 11312032 14140040 17675050 22624064 28280080 35350100 44187625 45248128 56560160 70700200 88375250 113120320 141400400 176750500 220938125 226240640 282800800 353501000 441876250 565601600 707002000 883752500 1104690625 1131203200 1414004000 1767505000 2209381250 2828008000 3535010000 4418762500 5656016000 7070020000 8837525000 14140040000 17675050000 28280080000 35350100000 70700200000 141400400000