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32143444322440 = 2351177397796731
BaseRepresentation
bin1110100111011111110101…
…00101001010100010001000
311012210212211220100012100011
413103233322211022202020
513203114233221304230
6152210254445521304
76525200341461043
oct723577245124210
9135725756305304
1032143444322440
11a272a5a384450
123731746573234
1314c2163009509
147d1a72a91c5a
153ab1d1087e2a
hex1d3bfa94a888

32143444322440 has 128 divisors (see below), whose sum is σ = 79081288744320. Its totient is φ = 11661335449600.

The previous prime is 32143444322419. The next prime is 32143444322447. The reversal of 32143444322440 is 4422344434123.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 32143444322393 and 32143444322402.

It is not an unprimeable number, because it can be changed into a prime (32143444322447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 332248875 + ... + 332345605.

It is an arithmetic number, because the mean of its divisors is an integer number (617822568315).

Almost surely, 232143444322440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32143444322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39540644372160).

32143444322440 is an abundant number, since it is smaller than the sum of its proper divisors (46937844421880).

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

32143444322440 is a wasteful number, since it uses less digits than its factorization.

32143444322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98503 (or 98499 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 32143444322440 its reverse (4422344434123), we get a palindrome (36565788756563).

The spelling of 32143444322440 in words is "thirty-two trillion, one hundred forty-three billion, four hundred forty-four million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 773 977 1546 1954 3092 3865 3908 4885 6184 7730 7816 8503 9770 10747 15460 17006 19540 21494 30920 34012 39080 42515 42988 53735 68024 85030 85976 96731 107470 170060 193462 214940 340120 386924 429880 483655 755221 773848 967310 1064041 1510442 1934620 2128082 3020884 3776105 3869240 4256164 5320205 6041768 7552210 8307431 8512328 10640410 15104420 16614862 21280820 30208840 33229724 41537155 42561640 66459448 74773063 83074310 94506187 149546126 166148620 189012374 299092252 332297240 373865315 378024748 472530935 598184504 747730630 756049496 822503693 945061870 1039568057 1495461260 1645007386 1890123740 2079136114 2990922520 3290014772 3780247480 4112518465 4158272228 5197840285 6580029544 8225036930 8316544456 10395680570 16450073860 20791361140 32900147720 41582722280 73053282551 146106565102 292213130204 365266412755 584426260408 730532825510 803586108061 1461065651020 1607172216122 2922131302040 3214344432244 4017930540305 6428688864488 8035861080610 16071722161220 32143444322440