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13141014001232 = 24131861293911551
BaseRepresentation
bin1011111100111010000101…
…1110001011011001010000
31201112021020212020000012212
42333032201132023121100
53210300244041014412
643540522024011252
72524256402004455
oct277164136133120
951467225200185
1013141014001232
1142070888aaa87
121582997000b28
1374426664a430
143360581a782c
1517bc64403222
hexbf3a178b650

13141014001232 has 80 divisors (see below), whose sum is σ = 27445675031040. Its totient is φ = 6059237184000.

The previous prime is 13141014001151. The next prime is 13141014001277. The reversal of 13141014001232 is 23210041014131.

It is a junction number, because it is equal to n+sod(n) for n = 13141014001198 and 13141014001207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137645857 + ... + 1137657407.

It is an arithmetic number, because the mean of its divisors is an integer number (343070937888).

Almost surely, 213141014001232 is an apocalyptic number.

It is an amenable number.

13141014001232 is an abundant number, since it is smaller than the sum of its proper divisors (14304661029808).

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

13141014001232 is a wasteful number, since it uses less digits than its factorization.

13141014001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16372 (or 16366 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 13141014001232 its reverse (23210041014131), we get a palindrome (36351055015363).

The spelling of 13141014001232 in words is "thirteen trillion, one hundred forty-one billion, fourteen million, one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 1861 2939 3722 5878 7444 11551 11756 14888 23102 23512 24193 29776 38207 46204 47024 48386 76414 92408 96772 150163 152828 184816 193544 300326 305656 387088 600652 611312 1201304 2402608 5469479 10938958 21496411 21877916 33948389 42992822 43755832 67896778 71103227 85985644 87511664 135793556 142206454 171971288 271587112 279453343 284412908 343942576 441329057 543174224 558906686 568825816 882658114 1117813372 1137651632 1765316228 2235626744 3530632456 4471253488 7061264912 63177951929 126355903858 252711807716 505423615432 821313375077 1010847230864 1642626750154 3285253500308 6570507000616 13141014001232