Search a number
-
+
30389158821024 = 25321512248331081
BaseRepresentation
bin1101110100011100001110…
…00001000011110010100000
310222121011201201200011201200
412322032013001003302200
512440343444124233044
6144344330431201200
76254354453653353
oct672160701036240
9128534651604650
1030389158821024
119756a73a02203
1234a9757976200
1313c58baa1cb93
14770bb37c229a
1537a759a56369
hex1ba387043ca0

30389158821024 has 144 divisors (see below), whose sum is σ = 86998150983744. Its totient is φ = 10061864064000.

The previous prime is 30389158821023. The next prime is 30389158821037. The reversal of 30389158821024 is 42012885198303.

30389158821024 is a `hidden beast` number, since 3 + 0 + 38 + 9 + 1 + 588 + 2 + 1 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (30389158821023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977725164 + ... + 977756244.

It is an arithmetic number, because the mean of its divisors is an integer number (604153826276).

Almost surely, 230389158821024 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 30389158821024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43499075491872).

30389158821024 is an abundant number, since it is smaller than the sum of its proper divisors (56608992162720).

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

30389158821024 is a wasteful number, since it uses less digits than its factorization.

30389158821024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53731 (or 53720 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 30389158821024 in words is "thirty trillion, three hundred eighty-nine billion, one hundred fifty-eight million, eight hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3624 4832 5436 7248 10872 14496 21744 22483 31081 43488 44966 62162 67449 89932 93243 124324 134898 179864 186486 202347 248648 269796 279729 359728 372972 404694 497296 539592 559458 719456 745944 809388 994592 1079184 1118916 1491888 1618776 2158368 2237832 2983776 3237552 3394933 4475664 4693231 6475104 6789866 8951328 9386462 10184799 13579732 14079693 18772924 20369598 27159464 28159386 30554397 37545848 40739196 42239079 54318928 56318772 61108794 75091696 81478392 84478158 108637856 112637544 122217588 150183392 162956784 168956316 225275088 244435176 325913568 337912632 450550176 488870352 675825264 698794123 977740704 1351650528 1397588246 2096382369 2795176492 4192764738 5590352984 6289147107 8385529476 11180705968 12578294214 16771058952 22361411936 25156588428 33542117904 50313176856 67084235808 100626353712 105517912573 201252707424 211035825146 316553737719 422071650292 633107475438 844143300584 949661213157 1266214950876 1688286601168 1899322426314 2532429901752 3376573202336 3798644852628 5064859803504 7597289705256 10129719607008 15194579410512 30389158821024