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2003420441340 = 22325234177115853
BaseRepresentation
bin11101001001110101001…
…010011110101011111100
321002112011211000021101200
4131021311022132223330
5230311001113110330
64132205244535500
7264512424530163
oct35116512365374
97075154007350
102003420441340
1170271167900a
12284339551590
13116bca096466
146cd74c5c3da
15371a8421a60
hex1d27529eafc

2003420441340 has 144 divisors (see below), whose sum is σ = 6342834109248. Its totient is φ = 510890637312.

The previous prime is 2003420441333. The next prime is 2003420441377. The reversal of 2003420441340 is 431440243002.

It is a happy number.

2003420441340 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 4 + 204 + 413 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17234854 + ... + 17350706.

It is an arithmetic number, because the mean of its divisors is an integer number (44047459092).

Almost surely, 22003420441340 is an apocalyptic number.

2003420441340 is a gapful number since it is divisible by the number (20) 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 2003420441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171417054624).

2003420441340 is an abundant number, since it is smaller than the sum of its proper divisors (4339413667908).

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

2003420441340 is a wasteful number, since it uses less digits than its factorization.

2003420441340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120068 (or 120063 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2003420441340 its reverse (431440243002), we get a palindrome (2434860684342).

The spelling of 2003420441340 in words is "two trillion, three billion, four hundred twenty million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 4177 8354 12531 16708 20885 25062 37593 41770 50124 62655 75186 83540 96071 115853 125310 150372 187965 192142 231706 250620 288213 347559 375930 384284 463412 480355 576426 579265 695118 751860 864639 960710 1042677 1152852 1158530 1390236 1441065 1729278 1737795 1921420 2085354 2317060 2664619 2882130 3458556 3475590 4170708 4323195 5213385 5329238 5764260 6951180 7993857 8646390 10426770 10658476 13323095 15987714 17292780 20853540 23981571 26646190 31975428 39969285 47963142 53292380 79938570 95926284 119907855 159877140 239815710 479631420 483917981 967835962 1451753943 1935671924 2419589905 2903507886 4355261829 4839179810 5807015772 7258769715 8710523658 9678359620 11130113563 14517539430 17421047316 21776309145 22260227126 29035078860 33390340689 43552618290 44520454252 55650567815 66780681378 87105236580 100171022067 111301135630 133561362756 166951703445 200342044134 222602271260 333903406890 400684088268 500855110335 667806813780 1001710220670 2003420441340