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1204114014 = 2323761107277
BaseRepresentation
bin100011111000101…
…0101001001011110
310002220202022220100
41013301111021132
54431223122024
6315252201530
741560541325
oct10761251136
93086668810
101204114014
11568766754
122973092a6
13162604bcc
14b5cc10bc
1570a9e7c9
hex47c5525e

1204114014 has 96 divisors (see below), whose sum is σ = 2758725216. Its totient is φ = 379157760.

The previous prime is 1204114007. The next prime is 1204114033. The reversal of 1204114014 is 4104114021.

It is a super-2 number, since 2×12041140142 = 2899781117422384392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4346844 + ... + 4347120.

It is an arithmetic number, because the mean of its divisors is an integer number (28736721).

Almost surely, 21204114014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1204114014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379362608).

1204114014 is an abundant number, since it is smaller than the sum of its proper divisors (1554611202).

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

1204114014 is a wasteful number, since it uses less digits than its factorization.

1204114014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1204114014 is about 34700.3460213295. The cubic root of 1204114014 is about 1063.8715707717.

Adding to 1204114014 its reverse (4104114021), we get a palindrome (5308228035).

The spelling of 1204114014 in words is "one billion, two hundred four million, one hundred fourteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 37 61 74 107 111 122 183 214 222 277 321 333 366 549 554 642 666 831 963 1098 1662 1926 2257 2493 3959 4514 4986 6527 6771 7918 10249 11877 13054 13542 16897 19581 20313 20498 23754 29639 30747 33794 35631 39162 40626 50691 58743 59278 61494 71262 88917 92241 101382 117486 152073 177834 184482 241499 266751 304146 482998 533502 625189 724497 1096643 1250378 1448994 1807979 1875567 2173491 2193286 3289929 3615958 3751134 4346982 5423937 5626701 6579858 9869787 10847874 11253402 16271811 19739574 32543622 66895223 133790446 200685669 401371338 602057007 1204114014