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32144130330 = 23513317137447
BaseRepresentation
bin11101111011111100…
…001000000100011010
310001222011212000020120
4131323330020010122
51011312344132310
622433344134110
72215363412454
oct357374100432
9101864760216
1032144130330
11126a5583974
126291007336
133053664780
1417ad1012d4
15c81eabb70
hex77bf0811a

32144130330 has 128 divisors (see below), whose sum is σ = 86970433536. Its totient is φ = 7549113600.

The previous prime is 32144130329. The next prime is 32144130341. The reversal of 32144130330 is 3303144123.

It is a super-2 number, since 2×321441303302 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 32144130330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 839667 + ... + 877113.

It is an arithmetic number, because the mean of its divisors is an integer number (679456512).

Almost surely, 232144130330 is an apocalyptic number.

32144130330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32144130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43485216768).

32144130330 is an abundant number, since it is smaller than the sum of its proper divisors (54826303206).

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

32144130330 is a wasteful number, since it uses less digits than its factorization.

32144130330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37572.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32144130330 its reverse (3303144123), we get a palindrome (35447274453).

The spelling of 32144130330 in words is "thirty-two billion, one hundred forty-four million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 71 78 93 130 142 155 186 195 213 310 355 390 403 426 465 710 806 923 930 1065 1209 1846 2015 2130 2201 2418 2769 4030 4402 4615 5538 6045 6603 9230 11005 12090 13206 13845 22010 27690 28613 33015 37447 57226 66030 74894 85839 112341 143065 171678 187235 224682 286130 374470 429195 486811 561705 858390 973622 1123410 1160857 1460433 2321714 2434055 2658737 2920866 3482571 4868110 5317474 5804285 6965142 7302165 7976211 11608570 13293685 14604330 15091141 15952422 17412855 26587370 30182282 34563581 34825710 39881055 45273423 69127162 75455705 79762110 82420847 90546846 103690743 150911410 164841694 172817905 207381486 226367115 247262541 345635810 412104235 452734230 494525082 518453715 824208470 1036907430 1071471011 1236312705 2142942022 2472625410 3214413033 5357355055 6428826066 10714710110 16072065165 32144130330