Search a number
-
+
1004224150524 = 2237234112677677
BaseRepresentation
bin11101001110100000110…
…11000111101111111100
310120000002002220111122110
432213100123013233330
5112423122340304044
62045200104414020
7132360416303460
oct16472033075774
93500062814573
101004224150524
11357986397791
12142760777310
137390c47bbaa
14368674684a0
151b1c75166b9
hexe9d06c7bfc

1004224150524 has 96 divisors (see below), whose sum is σ = 2862518270976. Its totient is φ = 267752517120.

The previous prime is 1004224150481. The next prime is 1004224150529. The reversal of 1004224150524 is 4250514224001.

It is a super-2 number, since 2×10042241505242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004224150491 and 1004224150500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004224150529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6259627 + ... + 6418050.

It is an arithmetic number, because the mean of its divisors is an integer number (29817898656).

Almost surely, 21004224150524 is an apocalyptic number.

1004224150524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004224150524 is an abundant number, since it is smaller than the sum of its proper divisors (1858294120452).

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

1004224150524 is a wasteful number, since it uses less digits than its factorization.

1004224150524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12677755 (or 12677753 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1004224150524 its reverse (4250514224001), we get a palindrome (5254738374525).

The spelling of 1004224150524 in words is "one trillion, four billion, two hundred twenty-four million, one hundred fifty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 41 42 46 69 82 84 92 123 138 161 164 246 276 287 322 483 492 574 644 861 943 966 1148 1722 1886 1932 2829 3444 3772 5658 6601 11316 13202 19803 26404 39606 79212 12677677 25355354 38033031 50710708 76066062 88743739 152132124 177487478 266231217 291586571 354974956 519784757 532462434 583173142 874759713 1039569514 1064924868 1166346284 1559354271 1749519426 2041105997 2079139028 3118708542 3499038852 3638493299 4082211994 6123317991 6237417084 7276986598 8164423988 10915479897 11955049411 12246635982 14553973196 21830959794 23910098822 24493271964 35865148233 43661919588 47820197644 71730296466 83685345877 143460592932 167370691754 251056037631 334741383508 502112075262 1004224150524