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2330332131040 = 255139149703229
BaseRepresentation
bin100001111010010010100…
…111100110111011100000
322020202222212000210012221
4201322102213212323200
5301140010011143130
64542312333000424
7330234542201344
oct41722247467340
98222885023187
102330332131040
11819319811081
12317773623114
1313b9984c5ac4
1480b081b5624
154093d51e87a
hex21e929e6ee0

2330332131040 has 96 divisors (see below), whose sum is σ = 5582239740000. Its totient is φ = 919214635008.

The previous prime is 2330332131011. The next prime is 2330332131053. The reversal of 2330332131040 is 401312330332.

2330332131040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2330332130996 and 2330332131014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2962146 + ... + 3665374.

It is an arithmetic number, because the mean of its divisors is an integer number (58148330625).

Almost surely, 22330332131040 is an apocalyptic number.

2330332131040 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 2330332131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791119870000).

2330332131040 is an abundant number, since it is smaller than the sum of its proper divisors (3251907608960).

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

2330332131040 is a wasteful number, since it uses less digits than its factorization.

2330332131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703532 (or 703524 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 2330332131040 its reverse (401312330332), we get a palindrome (2731644461372).

The spelling of 2330332131040 in words is "two trillion, three hundred thirty billion, three hundred thirty-two million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 149 160 278 298 556 596 695 745 1112 1192 1390 1490 2224 2384 2780 2980 4448 4768 5560 5960 11120 11920 20711 22240 23840 41422 82844 103555 165688 207110 331376 414220 662752 703229 828440 1406458 1656880 2812916 3313760 3516145 5625832 7032290 11251664 14064580 22503328 28129160 56258320 97748831 104781121 112516640 195497662 209562242 390995324 419124484 488744155 523905605 781990648 838248968 977488310 1047811210 1563981296 1676497936 1954976620 2095622420 3127962592 3352995872 3909953240 4191244840 7819906480 8382489680 14564575819 15639812960 16764979360 29129151638 58258303276 72822879095 116516606552 145645758190 233033213104 291291516380 466066426208 582583032760 1165166065520 2330332131040