Search a number
-
+
122143331040 = 25351311942483
BaseRepresentation
bin111000111000001001…
…1110101001011100000
3102200021101020002221120
41301300103311023200
54000122143043130
6132040055252240
711552553116643
oct1616023651340
9380241202846
10122143331040
11478897a9495
121b80967a080
13b697266ca3
145ca9c71a5a
15329d22b910
hex1c704f52e0

122143331040 has 96 divisors (see below), whose sum is σ = 387688726656. Its totient is φ = 32322900480.

The previous prime is 122143331039. The next prime is 122143331077. The reversal of 122143331040 is 40133341221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122143331040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908362 + ... + 1034121.

It is an arithmetic number, because the mean of its divisors is an integer number (4038424236).

Almost surely, 2122143331040 is an apocalyptic number.

122143331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122143331040 is an abundant number, since it is smaller than the sum of its proper divisors (265545395616).

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

122143331040 is a wasteful number, since it uses less digits than its factorization.

122143331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942632 (or 1942624 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122143331040 its reverse (40133341221), we get a palindrome (162276672261).

The spelling of 122143331040 in words is "one hundred twenty-two billion, one hundred forty-three million, three hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 131 160 240 262 393 480 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 10480 12576 15720 20960 31440 62880 1942483 3884966 5827449 7769932 9712415 11654898 15539864 19424830 23309796 29137245 31079728 38849660 46619592 58274490 62159456 77699320 93239184 116548980 155398640 186478368 233097960 254465273 310797280 466195920 508930546 763395819 932391840 1017861092 1272326365 1526791638 2035722184 2544652730 3053583276 3816979095 4071444368 5089305460 6107166552 7633958190 8142888736 10178610920 12214333104 15267916380 20357221840 24428666208 30535832760 40714443680 61071665520 122143331040