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134224413040 = 24513119366361
BaseRepresentation
bin111110100000001100…
…1100000000101110000
3110211110022220122220001
41331000121200011300
54144342422204130
6141354542555344
712461130454234
oct1750031400560
9424408818801
10134224413040
1151a19200183
122201b598b54
13c87114a513
1466d45585c4
153758b666ca
hex1f40660170

134224413040 has 80 divisors (see below), whose sum is σ = 316088045856. Its totient is φ = 53003059200.

The previous prime is 134224412983. The next prime is 134224413047. The reversal of 134224413040 is 40314422431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134224413047) 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, 1989460 + ... + 2055820.

Almost surely, 2134224413040 is an apocalyptic number.

134224413040 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 134224413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158044022928).

134224413040 is an abundant number, since it is smaller than the sum of its proper divisors (181863632816).

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

134224413040 is a wasteful number, since it uses less digits than its factorization.

134224413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66698 (or 66692 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 134224413040 its reverse (40314422431), we get a palindrome (174538835471).

The spelling of 134224413040 in words is "one hundred thirty-four billion, two hundred twenty-four million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 193 262 386 524 655 772 965 1048 1310 1544 1930 2096 2620 3088 3860 5240 7720 10480 15440 25283 50566 66361 101132 126415 132722 202264 252830 265444 331805 404528 505660 530888 663610 1011320 1061776 1327220 2022640 2654440 5308880 8693291 12807673 17386582 25615346 34773164 43466455 51230692 64038365 69546328 86932910 102461384 128076730 139092656 173865820 204922768 256153460 347731640 512306920 695463280 1024613840 1677805163 3355610326 6711220652 8389025815 13422441304 16778051630 26844882608 33556103260 67112206520 134224413040