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134022232032 = 25313463231943
BaseRepresentation
bin111110011010001011…
…0001111011111100000
3110210221020110210200120
41330310112033133200
54143434142411112
6141322521320240
712453124114233
oct1746426173740
9423836423616
10134022232032
1151925068637
1221b83936080
13c83b2ab5a0
1466b576941a
15374602ae8c
hex1f3458f7e0

134022232032 has 96 divisors (see below), whose sum is σ = 379690472448. Its totient is φ = 41148366336.

The previous prime is 134022232013. The next prime is 134022232037. The reversal of 134022232032 is 230232220431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 134022231993 and 134022232011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134022232037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461853 + ... + 693795.

It is an arithmetic number, because the mean of its divisors is an integer number (3955109088).

Almost surely, 2134022232032 is an apocalyptic number.

134022232032 is a gapful number since it is divisible by the number (12) 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 134022232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189845236224).

134022232032 is an abundant number, since it is smaller than the sum of its proper divisors (245668240416).

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

134022232032 is a wasteful number, since it uses less digits than its factorization.

134022232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232432 (or 232424 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 134022232032 its reverse (230232220431), we get a palindrome (364254452463).

The spelling of 134022232032 in words is "one hundred thirty-four billion, twenty-two million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 463 624 926 1248 1389 1852 2778 3704 5556 6019 7408 11112 12038 14816 18057 22224 24076 36114 44448 48152 72228 96304 144456 192608 231943 288912 463886 577824 695829 927772 1391658 1855544 2783316 3015259 3711088 5566632 6030518 7422176 9045777 11133264 12061036 18091554 22266528 24122072 36183108 48244144 72366216 96488288 107389609 144732432 214779218 289464864 322168827 429558436 644337654 859116872 1288675308 1396064917 1718233744 2577350616 2792129834 3436467488 4188194751 5154701232 5584259668 8376389502 10309402464 11168519336 16752779004 22337038672 33505558008 44674077344 67011116016 134022232032