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130032024444 = 223277122693203
BaseRepresentation
bin111100100011010000…
…0110011101101111100
3110102122011012020220100
41321012200303231330
54112301144240234
6135422541321100
712252212654040
oct1710640635574
9412564166810
10130032024444
1150167762613
122124b566190
13c3537080ca
146417844020
1535b0a8c399
hex1e46833b7c

130032024444 has 144 divisors (see below), whose sum is σ = 381225761280. Its totient is φ = 36601165440.

The previous prime is 130032024439. The next prime is 130032024449. The reversal of 130032024444 is 444420230031.

It is a happy number.

130032024444 is a `hidden beast` number, since 13 + 0 + 0 + 3 + 202 + 4 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (130032024439) and next prime (130032024449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130032024449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40595347 + ... + 40598549.

It is an arithmetic number, because the mean of its divisors is an integer number (2647401120).

Almost surely, 2130032024444 is an apocalyptic number.

130032024444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130032024444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190612880640).

130032024444 is an abundant number, since it is smaller than the sum of its proper divisors (251193736836).

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

130032024444 is a wasteful number, since it uses less digits than its factorization.

130032024444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 130032024444 its reverse (444420230031), we get a palindrome (574452254475).

The spelling of 130032024444 in words is "one hundred thirty billion, thirty-two million, twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2269 2556 2982 3203 4473 4538 5964 6406 6807 8946 9076 9609 12812 13614 15883 17892 19218 20421 22421 27228 28827 31766 38436 40842 44842 47649 57654 63532 67263 81684 89684 95298 115308 134526 142947 161099 190596 201789 227413 269052 285894 322198 403578 454826 483297 571788 644396 682239 807156 909652 966594 1127693 1364478 1449891 1591891 1933188 2046717 2255386 2728956 2899782 3183782 3383079 4093434 4510772 4775673 5799564 6367564 6766158 7267607 8186868 9551346 10149237 13532316 14327019 14535214 19102692 20298474 21802821 28654038 29070428 40596948 43605642 50873249 57308076 65408463 87211284 101746498 130816926 152619747 203492996 261633852 305239494 457859241 516000097 610478988 915718482 1032000194 1548000291 1831436964 2064000388 3096000582 3612000679 4644000873 6192001164 7224001358 9288001746 10836002037 14448002716 18576003492 21672004074 32508006111 43344008148 65016012222 130032024444