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3432004000000 = 2856858001
BaseRepresentation
bin110001111100010011011…
…000010001100100000000
3110011002121021000022000021
4301330103120101210000
5422212221011000000
611144350232303224
7502645154445412
oct61742330214400
913132537008007
103432004000000
111103560870a54
1247518b241b14
131bb83777b244
14bc1777209b2
155e41ab6911a
hex31f13611900

3432004000000 has 126 divisors (see below), whose sum is σ = 8563152538682. Its totient is φ = 1372800000000.

The previous prime is 3432003999967. The next prime is 3432004000013. The reversal of 3432004000000 is 4002343.

It can be written as a sum of positive squares in 7 ways, for example, as 3152357638144 + 279646361856 = 1775488^2 + 528816^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3571000 + ... + 4429000.

Almost surely, 23432004000000 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 3432004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281576269341).

3432004000000 is an abundant number, since it is smaller than the sum of its proper divisors (5131148538682).

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

3432004000000 is an frugal number, since it uses more digits than its factorization.

3432004000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858047 (or 858008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 3432004000000 its reverse (4002343), we get a palindrome (3432008002343).

The spelling of 3432004000000 in words is "three trillion, four hundred thirty-two billion, four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 800000 858001 1000000 1716002 2000000 3432004 4000000 4290005 6864008 8580010 13728016 17160020 21450025 27456032 34320040 42900050 54912064 68640080 85800100 107250125 109824128 137280160 171600200 214500250 219648256 274560320 343200400 429000500 536250625 549120640 686400800 858001000 1072501250 1098241280 1372801600 1716002000 2145002500 2681253125 2745603200 3432004000 4290005000 5362506250 5491206400 6864008000 8580010000 10725012500 13406265625 13728016000 17160020000 21450025000 26812531250 27456032000 34320040000 42900050000 53625062500 68640080000 85800100000 107250125000 137280160000 171600200000 214500250000 343200400000 429000500000 686400800000 858001000000 1716002000000 3432004000000