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53132341314 = 231317314312999
BaseRepresentation
bin110001011110111011…
…110011000001000010
312002010212212121010010
4301132323303001002
51332303334410224
640224134245350
73560445310113
oct613673630102
9162125777103
1053132341314
1120595904488
12a369ab6856
1350199ac620
14280074620a
1515ae87ae29
hexc5eef3042

53132341314 has 128 divisors (see below), whose sum is σ = 125411328000. Its totient is φ = 14850892800.

The previous prime is 53132341303. The next prime is 53132341319. The reversal of 53132341314 is 41314323135.

It is a happy number.

53132341314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53132341319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17715187 + ... + 17718185.

It is an arithmetic number, because the mean of its divisors is an integer number (979776000).

Almost surely, 253132341314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53132341314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62705664000).

53132341314 is an abundant number, since it is smaller than the sum of its proper divisors (72278986686).

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

53132341314 is a wasteful number, since it uses less digits than its factorization.

53132341314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496.

The product of its digits is 12960, while the sum is 30.

Adding to 53132341314 its reverse (41314323135), we get a palindrome (94446664449).

The spelling of 53132341314 in words is "fifty-three billion, one hundred thirty-two million, three hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 186 221 403 431 442 527 663 806 862 1054 1209 1293 1326 1581 2418 2586 2999 3162 5603 5998 6851 7327 8997 11206 13361 13702 14654 16809 17994 20553 21981 26722 33618 38987 40083 41106 43962 50983 77974 80166 92969 95251 101966 116961 152949 173693 185938 190502 227137 233922 278907 285753 305898 347386 454274 521079 557814 571506 662779 681411 1042158 1208597 1292569 1325558 1362822 1580473 1988337 2417194 2585138 2952781 3160946 3625791 3877707 3976674 4741419 5905562 7251582 7755414 8858343 9482838 16803397 17716686 20546149 21973673 33606794 40069639 41092298 43947346 50410191 61638447 65921019 80139278 100820382 120208917 123276894 131842038 240417834 285657749 520905307 571315498 681183863 856973247 1041810614 1362367726 1562715921 1713946494 2043551589 3125431842 4087103178 8855390219 17710780438 26566170657 53132341314