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32244114030 = 23517536411861
BaseRepresentation
bin11110000001111001…
…100010001001101110
310002020010222201002120
4132001321202021232
51012013443122110
622451315133410
72221016306232
oct360171421156
9102203881076
1032244114030
1112746a64127
1262ba5a4266
13306b2a0a1b
1417bc4ca5c2
15c8ab5b870
hex781e6226e

32244114030 has 128 divisors (see below), whose sum is σ = 83659153536. Its totient is φ = 7923302400.

The previous prime is 32244113987. The next prime is 32244114079. The reversal of 32244114030 is 3041144223.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17325300 + ... + 17327160.

It is an arithmetic number, because the mean of its divisors is an integer number (653587137).

Almost surely, 232244114030 is an apocalyptic number.

32244114030 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 32244114030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41829576768).

32244114030 is an abundant number, since it is smaller than the sum of its proper divisors (51415039506).

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

32244114030 is a wasteful number, since it uses less digits than its factorization.

32244114030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 32244114030 its reverse (3041144223), we get a palindrome (35285258253).

The spelling of 32244114030 in words is "thirty-two billion, two hundred forty-four million, one hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 53 85 102 106 159 170 255 265 318 510 530 641 795 901 1282 1590 1802 1861 1923 2703 3205 3722 3846 4505 5406 5583 6410 9010 9305 9615 10897 11166 13515 18610 19230 21794 27030 27915 31637 32691 33973 54485 55830 63274 65382 67946 94911 98633 101919 108970 158185 163455 169865 189822 197266 203838 295899 316370 326910 339730 474555 493165 509595 577541 591798 949110 986330 1019190 1155082 1192901 1479495 1676761 1732623 2385802 2887705 2958990 3353522 3465246 3578703 5030283 5775410 5964505 7157406 8383805 8663115 10060566 11929010 16767610 17326230 17893515 20279317 25151415 35787030 40558634 50302830 60837951 63223753 101396585 121675902 126447506 189671259 202793170 304189755 316118765 379342518 608379510 632237530 948356295 1074803801 1896712590 2149607602 3224411403 5374019005 6448822806 10748038010 16122057015 32244114030