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30344254204044 = 223112103251808349
BaseRepresentation
bin1101110011001000100100…
…11111100010100010001100
310222102212211020201021120110
412321210102133202202030
512434130013034012134
6144311542525320020
76251204623010604
oct671442237424214
9128385736637513
1030344254204044
119739a20474900
1234a0b05406010
1313c15b27c6bc1
1476c953aa1c04
153794cc6a97e9
hex1b99127e288c

30344254204044 has 144 divisors (see below), whose sum is σ = 78893821843200. Its totient is φ = 9069664560000.

The previous prime is 30344254204039. The next prime is 30344254204111. The reversal of 30344254204044 is 44040245244303.

It is a junction number, because it is equal to n+sod(n) for n = 30344254203993 and 30344254204011.

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, 37134382 + ... + 37942730.

It is an arithmetic number, because the mean of its divisors is an integer number (547873762800).

Almost surely, 230344254204044 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 30344254204044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39446910921600).

30344254204044 is an abundant number, since it is smaller than the sum of its proper divisors (48549567639156).

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

30344254204044 is a wasteful number, since it uses less digits than its factorization.

30344254204044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808732 (or 808719 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 39.

Adding to 30344254204044 its reverse (44040245244303), we get a palindrome (74384499448347).

The spelling of 30344254204044 in words is "thirty trillion, three hundred forty-four billion, two hundred fifty-four million, two hundred four thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 121 132 206 242 251 309 363 412 484 502 618 726 753 1004 1133 1236 1452 1506 2266 2761 3012 3399 4532 5522 6798 8283 11044 12463 13596 16566 24926 25853 30371 33132 37389 49852 51706 60742 74778 77559 91113 103412 121484 149556 155118 182226 284383 310236 364452 568766 808349 853149 1137532 1616698 1706298 2425047 3128213 3233396 3412596 4850094 6256426 8891839 9384639 9700188 12512852 17783678 18769278 26675517 35567356 37538556 53351034 83259947 97810229 106702068 166519894 195620458 202895599 249779841 293430687 333039788 391240916 405791198 499559682 586861374 608686797 811582396 915859417 999119364 1173722748 1217373594 1831718834 2231851589 2434747188 2747578251 3663437668 4463703178 5495156502 6695554767 8927406356 10074453587 10990313004 13391109534 20148907174 20898246697 24550367479 26782219068 30223360761 40297814348 41796493394 49100734958 60446721522 62694740091 73651102437 83592986788 98201469916 120893443044 125389480182 147302204874 229880713667 250778960364 294604409748 459761427334 689642141001 919522854668 1379284282002 2528687850337 2758568564004 5057375700674 7586063551011 10114751401348 15172127102022 30344254204044