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32214343430010 = 23573121312322121
BaseRepresentation
bin1110101001100011111000…
…11111110010111101111010
311020001122211222112000221010
413110301330133302331322
513210244433404230020
6152303022015454350
76533260314111420
oct724617437627572
9136048758460833
1032214343430010
11a2a0032049325
1237434325273b6
1314c8a517c7281
147d527ac71110
153ace8059ade0
hex1d4c7c7f2f7a

32214343430010 has 128 divisors (see below), whose sum is σ = 91252483964928. Its totient is φ = 7122406464000.

The previous prime is 32214343429997. The next prime is 32214343430053. The reversal of 32214343430010 is 1003434341223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 32214343430010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12711750 + ... + 15033870.

It is an arithmetic number, because the mean of its divisors is an integer number (712910030976).

Almost surely, 232214343430010 is an apocalyptic number.

32214343430010 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 32214343430010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45626241982464).

32214343430010 is an abundant number, since it is smaller than the sum of its proper divisors (59038140534918).

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

32214343430010 is a wasteful number, since it uses less digits than its factorization.

32214343430010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324300.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 32214343430010 its reverse (1003434341223), we get a palindrome (33217777771233).

The spelling of 32214343430010 in words is "thirty-two trillion, two hundred fourteen billion, three hundred forty-three million, four hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2131 2170 3255 4262 6393 6510 10655 12786 14917 21310 29834 31965 44751 63930 66061 74585 89502 132122 149170 198183 223755 330305 396366 447510 462427 660610 924854 990915 1387281 1981830 2312135 2322121 2774562 4624270 4644242 6936405 6966363 11610605 13872810 13932726 16254847 23221210 32509694 34831815 48764541 69663630 71985751 81274235 97529082 143971502 162548470 215957253 243822705 359928755 431914506 487645410 503900257 719857510 1007800514 1079786265 1511700771 2159572530 2519501285 3023401542 4948439851 5039002570 7558503855 9896879702 14845319553 15117007710 24742199255 29690639106 34639078957 49484398510 69278157914 74226597765 103917236871 148453195530 153401635381 173195394785 207834473742 306803270762 346390789570 460204906143 519586184355 767008176905 920409812286 1039172368710 1073811447667 1534016353810 2147622895334 2301024530715 3221434343001 4602049061430 5369057238335 6442868686002 10738114476670 16107171715005 32214343430010