Search a number
-
+
115032224130040 = 2357719853766931
BaseRepresentation
bin11010001001111100000110…
…110110110110001111111000
3120002021222021111001022202001
4122021330012312312033320
5110034141443334130130
61044353024011150344
733141542515050010
oct3211740666661770
9502258244038661
10115032224130040
113371a98a701588
1210a9a0231453b4
134c2565245a399
142059837290c40
15d473bae446ca
hex689f06db63f8

115032224130040 has 128 divisors (see below), whose sum is σ = 296247671654400. Its totient is φ = 39379564477440.

The previous prime is 115032224130001. The next prime is 115032224130041. The reversal of 115032224130040 is 40031422230511.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 115032224129990 and 115032224130008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115032224130041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1718635375 + ... + 1718702305.

It is an arithmetic number, because the mean of its divisors is an integer number (2314434934800).

Almost surely, 2115032224130040 is an apocalyptic number.

115032224130040 is a gapful number since it is divisible by the number (10) 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 115032224130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148123835827200).

115032224130040 is an abundant number, since it is smaller than the sum of its proper divisors (181215447524360).

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

115032224130040 is a wasteful number, since it uses less digits than its factorization.

115032224130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76205 (or 76201 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 115032224130040 its reverse (40031422230511), we get a palindrome (155063646360551).

The spelling of 115032224130040 in words is "one hundred fifteen trillion, thirty-two billion, two hundred twenty-four million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 719 1438 2876 3595 5033 5752 7190 8537 10066 14380 17074 20132 25165 28760 34148 40264 42685 50330 59759 66931 68296 85370 100660 119518 133862 170740 201320 239036 267724 298795 334655 341480 468517 478072 535448 597590 669310 937034 1195180 1338620 1874068 2342585 2390360 2677240 3748136 4685170 6138103 9370340 12276206 18740680 24552412 30690515 42966721 48123389 49104824 61381030 85933442 96246778 122762060 171866884 192493556 214833605 240616945 245524120 336863723 343733768 384987112 429667210 481233890 571389947 673727446 859334420 962467780 1142779894 1347454892 1684318615 1718668840 1924935560 2285559788 2694909784 2856949735 3368637230 3999729629 4571119576 5713899470 6737274460 7999459258 11427798940 13474548920 15998918516 19998648145 22855597880 31997837032 39997296290 79994592580 159989185160 410829371893 821658743786 1643317487572 2054146859465 2875805603251 3286634975144 4108293718930 5751611206502 8216587437860 11503222413004 14379028016255 16433174875720 23006444826008 28758056032510 57516112065020 115032224130040