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122324141440 = 275499383029
BaseRepresentation
bin111000111101100010…
…1100100010110000000
3102200201222110020012001
41301323011210112000
54001004440011230
6132110034513344
711560210021654
oct1617305442600
9380658406161
10122324141440
1147971874a76
121b85a135854
13b6c58629a7
145cc5c9aa64
1532ae0450ca
hex1c7b164580

122324141440 has 64 divisors (see below), whose sum is σ = 293017950000. Its totient is φ = 48831473664.

The previous prime is 122324141437. The next prime is 122324141477. The reversal of 122324141440 is 44141423221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 122324141399 and 122324141408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127846 + ... + 510874.

Almost surely, 2122324141440 is an apocalyptic number.

122324141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122324141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146508975000).

122324141440 is an abundant number, since it is smaller than the sum of its proper divisors (170693808560).

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

122324141440 is an equidigital number, since it uses as much as digits as its factorization.

122324141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383547 (or 383535 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 122324141440 its reverse (44141423221), we get a palindrome (166465564661).

The spelling of 122324141440 in words is "one hundred twenty-two billion, three hundred twenty-four million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 499 640 998 1996 2495 3992 4990 7984 9980 15968 19960 31936 39920 63872 79840 159680 319360 383029 766058 1532116 1915145 3064232 3830290 6128464 7660580 12256928 15321160 24513856 30642320 49027712 61284640 122569280 191131471 245138560 382262942 764525884 955657355 1529051768 1911314710 3058103536 3822629420 6116207072 7645258840 12232414144 15290517680 24464828288 30581035360 61162070720 122324141440