Search a number
-
+
134210113024 = 291337593919
BaseRepresentation
bin111110011111110001…
…0111100111000000000
3110211102100000010221211
41330333202330320000
54144330242104044
6141353312255504
712460565065231
oct1747742747000
9424370003854
10134210113024
1151a11123389
1222016841594
13c86b1b1680
1466d26b5088
15375778e634
hex1f3f8bce00

134210113024 has 160 divisors (see below), whose sum is σ = 297414089280. Its totient is φ = 60101885952.

The previous prime is 134210113019. The next prime is 134210113033. The reversal of 134210113024 is 420311012431.

It is a junction number, because it is equal to n+sod(n) for n = 134210112986 and 134210113004.

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, 146038837 + ... + 146039755.

It is an arithmetic number, because the mean of its divisors is an integer number (1858838058).

Almost surely, 2134210113024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134210113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148707044640).

134210113024 is an abundant number, since it is smaller than the sum of its proper divisors (163203976256).

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

134210113024 is an equidigital number, since it uses as much as digits as its factorization.

134210113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 134210113024 its reverse (420311012431), we get a palindrome (554521125455).

The spelling of 134210113024 in words is "one hundred thirty-four billion, two hundred ten million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 512 592 593 832 919 962 1184 1186 1664 1838 1924 2368 2372 3328 3676 3848 4736 4744 6656 7352 7696 7709 9472 9488 11947 14704 15392 15418 18944 18976 21941 23894 29408 30784 30836 34003 37952 43882 47788 58816 61568 61672 68006 75904 87764 95576 117632 123136 123344 136012 151808 175528 191152 235264 246272 246688 272024 285233 303616 351056 382304 442039 470528 493376 544048 544967 570466 702112 764608 884078 986752 1088096 1089934 1140932 1404224 1529216 1768156 1973504 2176192 2179868 2281864 2808448 3058432 3536312 3947008 4352384 4359736 4563728 5616896 6116864 7072624 7084571 8704768 8719472 9127456 11233792 14145248 14169142 17409536 17438944 18254912 20163779 28290496 28338284 34877888 36509824 40327558 56580992 56676568 69755776 73019648 80655116 113161984 113353136 139511552 146039296 161310232 226323968 226706272 262129127 279023104 322620464 453412544 524258254 645240928 906825088 1048516508 1290481856 1813650176 2097033016 2580963712 3627300352 4194066032 5161927424 8388132064 10323854848 16776264128 33552528256 67105056512 134210113024