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11322141000414 = 23172337130436407
BaseRepresentation
bin1010010011000010010000…
…1100010100001011011110
31111002101102110210001201220
42210300210030110023132
52441000221044003124
640025153023114210
72245666131412416
oct244604414241336
944071373701656
1011322141000414
113675769477562
12132a382142966
1364189a37242a
142b1dcd07d646
151497aca49879
hexa4c243142de

11322141000414 has 64 divisors (see below), whose sum is σ = 25694928884736. Its totient is φ = 3305780273664.

The previous prime is 11322141000407. The next prime is 11322141000419. The reversal of 11322141000414 is 41400014122311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322141000419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65131402 + ... + 65305005.

It is an arithmetic number, because the mean of its divisors is an integer number (401483263824).

Almost surely, 211322141000414 is an apocalyptic number.

11322141000414 is an abundant number, since it is smaller than the sum of its proper divisors (14372787884322).

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

11322141000414 is a wasteful number, since it uses less digits than its factorization.

11322141000414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130436489.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11322141000414 its reverse (41400014122311), we get a palindrome (52722155122725).

The spelling of 11322141000414 in words is "eleven trillion, three hundred twenty-two billion, one hundred forty-one million, four hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 17 23 34 37 46 51 69 74 102 111 138 222 391 629 782 851 1173 1258 1702 1887 2346 2553 3774 5106 14467 28934 43401 86802 130436407 260872814 391309221 782618442 2217418919 3000037361 4434837838 4826147059 6000074722 6652256757 9000112083 9652294118 13304513514 14478441177 18000224166 28956882354 51000635137 82044500003 102001270274 111001382357 153001905411 164089000006 222002764714 246133500009 306003810822 333004147071 492267000018 666008294142 1887023500069 3774047000138 5661070500207 11322141000414