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30042424001040 = 24351143264644327
BaseRepresentation
bin1101101010010110011000…
…00000101100001000010000
310221101000202011221022021220
412311023030000230020100
512414203341021013130
6143521144332445040
76220331162425353
oct665131400541020
9127330664838256
1030042424001040
119632a14164a40
12345250b019780
13139bcb0761a49
1475c0bd86429a
153717144c8410
hex1b52cc02c210

30042424001040 has 160 divisors (see below), whose sum is σ = 103960760656896. Its totient is φ = 7113639482880.

The previous prime is 30042424000877. The next prime is 30042424001041. The reversal of 30042424001040 is 4010042424003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30042424001040.

It is not an unprimeable number, because it can be changed into a prime (30042424001041) 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, 132208644 + ... + 132435683.

Almost surely, 230042424001040 is an apocalyptic number.

30042424001040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30042424001040 is an abundant number, since it is smaller than the sum of its proper divisors (73918336655856).

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

30042424001040 is a wasteful number, since it uses less digits than its factorization.

30042424001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264644397 (or 264644391 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 30042424001040 its reverse (4010042424003), we get a palindrome (34052466425043).

The spelling of 30042424001040 in words is "thirty trillion, forty-two billion, four hundred twenty-four million, one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 43 44 48 55 60 66 80 86 88 110 120 129 132 165 172 176 215 220 240 258 264 330 344 430 440 473 516 528 645 660 688 860 880 946 1032 1290 1320 1419 1720 1892 2064 2365 2580 2640 2838 3440 3784 4730 5160 5676 7095 7568 9460 10320 11352 14190 18920 22704 28380 37840 56760 113520 264644327 529288654 793932981 1058577308 1323221635 1587865962 2117154616 2646443270 2911087597 3175731924 3969664905 4234309232 5292886540 5822175194 6351463848 7939329810 8733262791 10585773080 11379706061 11644350388 12702927696 14555437985 15878659620 17466525582 21171546160 22759412122 23288700776 29110875970 31757319240 34139118183 34933051164 43666313955 45518824244 46577401552 56898530305 58221751940 63514638480 68278236366 69866102328 87332627910 91037648488 113797060610 116443503880 125176766671 136556472732 139732204656 170695590915 174665255820 182075296976 227594121220 232887007760 250353533342 273112945464 341391181830 349330511640 375530300013 455188242440 500707066684 546225890928 625883833355 682782363660 698661023280 751060600026 910376484880 1001414133368 1251767666710 1365564727320 1502121200052 1877651500065 2002828266736 2503535333420 2731129454640 3004242400104 3755303000130 5007070666840 6008484800208 7510606000260 10014141333680 15021212000520 30042424001040