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1145032320432 = 2437111323831009
BaseRepresentation
bin10000101010011001001…
…111101010010110110000
311001110112021022200002110
4100222121033222112300
5122230011233223212
62234004240245320
7145503653064330
oct20523117522660
94043467280073
101145032320432
11401672991940
12165ab9010840
1383c8c5c4620
143d5c414b0c0
151ebb9175a3c
hex10a993ea5b0

1145032320432 has 160 divisors (see below), whose sum is σ = 3971580802560. Its totient is φ = 274533212160.

The previous prime is 1145032320407. The next prime is 1145032320437. The reversal of 1145032320432 is 2340232305411.

It is a super-2 number, since 2×11450323204322 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1145032320432.

It is not an unprimeable number, because it can be changed into a prime (1145032320437) 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 31 ways as a sum of consecutive naturals, for example, 11867457 + ... + 11963552.

It is an arithmetic number, because the mean of its divisors is an integer number (24822380016).

Almost surely, 21145032320432 is an apocalyptic number.

1145032320432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1145032320432 is an abundant number, since it is smaller than the sum of its proper divisors (2826548482128).

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

1145032320432 is a wasteful number, since it uses less digits than its factorization.

1145032320432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23831051 (or 23831045 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1145032320432 its reverse (2340232305411), we get a palindrome (3485264625843).

The spelling of 1145032320432 in words is "one trillion, one hundred forty-five billion, thirty-two million, three hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 23831009 47662018 71493027 95324036 142986054 166817063 190648072 262141099 285972108 309803117 333634126 381296144 500451189 524282198 571944216 619606234 667268252 786423297 929409351 1000902378 1048564396 1143888432 1239212468 1334536504 1572846594 1834987693 1858818702 2001804756 2097128792 2168621819 2478424936 2669073008 3145693188 3407834287 3669975386 3717637404 4003609512 4194257584 4337243638 4956849872 5504963079 6291386376 6505865457 6815668574 7339950772 7435274808 8007219024 8674487276 10223502861 11009926158 12582772752 13011730914 13631337148 14679901544 14870549616 17348974552 20447005722 22019852316 23854840009 26023461828 27262674296 29359803088 34697949104 40894011444 44039704632 47709680018 52046923656 54525348592 71564520027 81788022888 88079409264 95419360036 104093847312 143129040054 163576045776 190838720072 286258080108 381677440144 572516160216 1145032320432