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1242034144 = 251317210331
BaseRepresentation
bin100101000000111…
…1110111111100000
310012120002212112121
41022001332333200
510020430043034
6323125034024
742531054541
oct11201767740
93176085477
101242034144
115881066aa
122a7b55914
1316a420b60
14bad524c8
15740901b4
hex4a07efe0

1242034144 has 72 divisors (see below), whose sum is σ = 2797636968. Its totient is φ = 539473920.

The previous prime is 1242034133. The next prime is 1242034159. The reversal of 1242034144 is 4414302421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115059 + ... + 125389.

It is an arithmetic number, because the mean of its divisors is an integer number (38856069).

Almost surely, 21242034144 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 1242034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398818484).

1242034144 is an abundant number, since it is smaller than the sum of its proper divisors (1555602824).

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

1242034144 is a wasteful number, since it uses less digits than its factorization.

1242034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10388 (or 10363 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1242034144 is about 35242.5047917993. The cubic root of 1242034144 is about 1074.9242114228.

Adding to 1242034144 its reverse (4414302421), we get a palindrome (5656336565).

It can be divided in two parts, 12420 and 34144, that added together give a palindrome (46564).

The spelling of 1242034144 in words is "one billion, two hundred forty-two million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 289 416 442 544 578 884 1156 1768 2312 3536 3757 4624 7072 7514 9248 10331 15028 20662 30056 41324 60112 82648 120224 134303 165296 175627 268606 330592 351254 537212 702508 1074424 1405016 2148848 2283151 2810032 2985659 4297696 4566302 5620064 5971318 9132604 11942636 18265208 23885272 36530416 38813567 47770544 73060832 77627134 95541088 155254268 310508536 621017072 1242034144