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3440400001332 = 22371911019210437
BaseRepresentation
bin110010000100000111110…
…100011110100100110100
3110011220021101120100121120
4302010013310132210310
5422331414400020312
611152255315543540
7503363214334410
oct62040764364464
913156241510546
103440400001332
11110707a123028
12476932bbabb0
131bc575062878
14bc73282bd40
155e75ccd828c
hex32107d1e934

3440400001332 has 96 divisors (see below), whose sum is σ = 9231527854080. Its totient is φ = 976860746880.

The previous prime is 3440400001321. The next prime is 3440400001333. The reversal of 3440400001332 is 2331000040443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440400001333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16243618 + ... + 16454054.

It is an arithmetic number, because the mean of its divisors is an integer number (96161748480).

Almost surely, 23440400001332 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 3440400001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615763927040).

3440400001332 is an abundant number, since it is smaller than the sum of its proper divisors (5791127852748).

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

3440400001332 is a wasteful number, since it uses less digits than its factorization.

3440400001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211661 (or 211659 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3440400001332 its reverse (2331000040443), we get a palindrome (5771400041775).

The spelling of 3440400001332 in words is "three trillion, four hundred forty billion, four hundred million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 191 382 573 764 1019 1146 1337 2038 2292 2674 3057 4011 4076 5348 6114 7133 8022 12228 14266 16044 21399 28532 42798 85596 194629 210437 389258 420874 583887 631311 778516 841748 1167774 1262622 1362403 1473059 2335548 2525244 2724806 2946118 4087209 4419177 5449612 5892236 8174418 8838354 16348836 17676708 40193467 80386934 120580401 160773868 214435303 241160802 281354269 428870606 482321604 562708538 643305909 844062807 857741212 1125417076 1286611818 1501047121 1688125614 2573223636 3002094242 3376251228 4503141363 6004188484 9006282726 18012565452 40957142873 81914285746 122871428619 163828571492 245742857238 286700000111 491485714476 573400000222 860100000333 1146800000444 1720200000666 3440400001332