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4230442440324 = 2232834433195961
BaseRepresentation
bin111101100011111010000…
…001001101011010000100
3112222102111210210120211100
4331203322001031122010
51023302421231042244
612555234411140100
7614432210301342
oct75437201153204
915872453716740
104230442440324
111391136519861
12583a7a744630
13248c100607b9
14108a7c51a992
157509bd01b69
hex3d8fa04d684

4230442440324 has 72 divisors (see below), whose sum is σ = 10846890486432. Its totient is φ = 1390012490880.

The previous prime is 4230442440313. The next prime is 4230442440349.

4230442440324 is a `hidden beast` number, since 4 + 2 + 304 + 4 + 24 + 4 + 0 + 324 = 666.

4230442440324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274297 + ... + 2921664.

It is an arithmetic number, because the mean of its divisors is an integer number (150651256756).

Almost surely, 24230442440324 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 4230442440324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423445243216).

4230442440324 is an abundant number, since it is smaller than the sum of its proper divisors (6616448046108).

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

4230442440324 is a wasteful number, since it uses less digits than its factorization.

4230442440324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196497 (or 3196492 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 4230442440324 in words is "four trillion, two hundred thirty billion, four hundred forty-two million, four hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 443 498 747 886 996 1329 1494 1772 2658 2988 3987 5316 7974 15948 36769 73538 110307 147076 220614 330921 441228 661842 1323684 3195961 6391922 9587883 12783844 19175766 28763649 38351532 57527298 115054596 265264763 530529526 795794289 1061059052 1415810723 1591588578 2387382867 2831621446 3183177156 4247432169 4774765734 5663242892 8494864338 9549531468 12742296507 16989728676 25484593014 50969186028 117512290009 235024580018 352536870027 470049160036 705073740054 1057610610081 1410147480108 2115221220162 4230442440324