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1400132330000 = 2454421332573
BaseRepresentation
bin10100010111111110011…
…000111110001000010000
311221211222121222212002222
4110113332120332020100
5140414432334030000
62551113435000212
7203104404303545
oct24277630761020
94854877885088
101400132330000
1149a87a220828
121a7431599068
13a205515a051
144baa4014bcc
1526649a9da85
hex145fe63e210

1400132330000 has 100 divisors (see below), whose sum is σ = 3397922526108. Its totient is φ = 558720960000.

The previous prime is 1400132329957. The next prime is 1400132330033. The reversal of 1400132330000 is 332310041.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1351508551936 + 48623778064 = 1162544^2 + 220508^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×14001323300002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4043714 + ... + 4376286.

Almost surely, 21400132330000 is an apocalyptic number.

1400132330000 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 1400132330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698961263054).

1400132330000 is an abundant number, since it is smaller than the sum of its proper divisors (1997790196108).

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

1400132330000 is an equidigital number, since it uses as much as digits as its factorization.

1400132330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333022 (or 333001 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1400132330000 its reverse (332310041), we get a palindrome (1400464640041).

The spelling of 1400132330000 in words is "one trillion, four hundred billion, one hundred thirty-two million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 421 500 625 842 1000 1250 1684 2000 2105 2500 3368 4210 5000 6736 8420 10000 10525 16840 21050 33680 42100 52625 84200 105250 168400 210500 263125 332573 421000 526250 665146 842000 1052500 1330292 1662865 2105000 2660584 3325730 4210000 5321168 6651460 8314325 13302920 16628650 26605840 33257300 41571625 66514600 83143250 133029200 140013233 166286500 207858125 280026466 332573000 415716250 560052932 665146000 700066165 831432500 1120105864 1400132330 1662865000 2240211728 2800264660 3325730000 3500330825 5600529320 7000661650 11201058640 14001323300 17501654125 28002646600 35003308250 56005293200 70006616500 87508270625 140013233000 175016541250 280026466000 350033082500 700066165000 1400132330000