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3389239442640 = 2435353106937423
BaseRepresentation
bin110001010100011110011…
…010011011110011010000
3110000000012220221200202110
4301110132122123303100
5421012130244131030
611112554535345320
7466602340633542
oct61243632336320
913000186850673
103389239442640
111097406343067
12468a35522240
131b77b0a2ab2c
14ba07bd17692
155d2665e91b0
hex3151e69bcd0

3389239442640 has 160 divisors (see below), whose sum is σ = 10546544263680. Its totient is φ = 900369727488.

The previous prime is 3389239442639. The next prime is 3389239442653. The reversal of 3389239442640 is 462449329833.

3389239442640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33892394426402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90546969 + ... + 90584391.

It is an arithmetic number, because the mean of its divisors is an integer number (65915901648).

Almost surely, 23389239442640 is an apocalyptic number.

3389239442640 is a gapful number since it is divisible by the number (30) 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 3389239442640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273272131840).

3389239442640 is an abundant number, since it is smaller than the sum of its proper divisors (7157304821040).

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

3389239442640 is a wasteful number, since it uses less digits than its factorization.

3389239442640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38861 (or 38855 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 57.

The spelling of 3389239442640 in words is "three trillion, three hundred eighty-nine billion, two hundred thirty-nine million, four hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 353 706 1059 1069 1412 1765 2118 2138 2824 3207 3530 4236 4276 5295 5345 5648 6414 7060 8472 8552 10590 10690 12828 14120 16035 16944 17104 21180 21380 25656 28240 32070 37423 42360 42760 51312 64140 74846 84720 85520 112269 128280 149692 187115 224538 256560 299384 374230 377357 449076 561345 598768 748460 754714 898152 1122690 1132071 1496920 1509428 1796304 1886785 2245380 2264142 2993840 3018856 3773570 4490760 4528284 5660355 6037712 7547140 8981520 9056568 11320710 13210319 15094280 18113136 22641420 26420638 30188560 39630957 40005187 45282840 52841276 66051595 79261914 80010374 90565680 105682552 120015561 132103190 158523828 160020748 198154785 200025935 211365104 240031122 264206380 317047656 320041496 396309570 400051870 480062244 528412760 600077805 634095312 640082992 792619140 800103740 960124488 1056825520 1200155610 1585238280 1600207480 1920248976 2400311220 3170476560 3200414960 4800622440 9601244880 14121831011 28243662022 42365493033 56487324044 70609155055 84730986066 112974648088 141218310110 169461972132 211827465165 225949296176 282436620220 338923944264 423654930330 564873240440 677847888528 847309860660 1129746480880 1694619721320 3389239442640