Search a number
-
+
240412021220124 = 2232132322334821741
BaseRepresentation
bin110110101010011101001001…
…000111111110001100011100
31011112020011110010011200202200
4312222131021013332030130
5223002402304413020444
62211151431410251500
7101432124001066335
oct6652351107761434
91145204403150680
10240412021220124
116a66a1904a5386
1222b69563586b90
13a41b9aa849080
14435200aa4528c
151cbda05c17969
hexdaa7491fe31c

240412021220124 has 72 divisors (see below), whose sum is σ = 682909509583392. Its totient is φ = 70756715272320.

The previous prime is 240412021220099. The next prime is 240412021220153. The reversal of 240412021220124 is 421022120214042.

240412021220124 is a `hidden beast` number, since 2 + 4 + 0 + 412 + 0 + 2 + 1 + 220 + 1 + 24 = 666.

It is a congruent number.

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, 11167400107 + ... + 11167421634.

Almost surely, 2240412021220124 is an apocalyptic number.

It is an amenable number.

240412021220124 is an abundant number, since it is smaller than the sum of its proper divisors (442497488363268).

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

240412021220124 is a wasteful number, since it uses less digits than its factorization.

240412021220124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22334821787 (or 22334821782 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 240412021220124 its reverse (421022120214042), we get a palindrome (661434141434166).

The spelling of 240412021220124 in words is "two hundred forty trillion, four hundred twelve billion, twenty-one million, two hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 22334821741 44669643482 67004465223 89339286964 134008930446 201013395669 268017860892 290352682633 402026791338 513700900043 580705365266 804053582676 871058047899 1027401800086 1161410730532 1541102700129 1742116095798 2054803600172 2613174143697 3082205400258 3484232191596 4623308100387 5226348287394 6164410800516 6678111700559 9246616200774 10452696574788 13356223401118 18493232401548 20034335101677 26712446802236 40068670203354 60103005305031 80137340406708 120206010610062 240412021220124