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1340303530032 = 2432503157911719
BaseRepresentation
bin10011100000010000010…
…100001101100000110000
311202010120001112220122200
4103200100110031200300
5133424420200430112
62503421004103200
7165555654013365
oct23402024154060
94663501486580
101340303530032
114774684458a5
12197914b34b00
139950c01246c
1448c2a1a846c
1524ce73b6cdc
hex1381050d830

1340303530032 has 120 divisors (see below), whose sum is σ = 3761146771200. Its totient is φ = 445559232384.

The previous prime is 1340303530003. The next prime is 1340303530043. The reversal of 1340303530032 is 2300353030431.

It is a happy number.

1340303530032 is a `hidden beast` number, since 13 + 40 + 303 + 5 + 300 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1340303529978 and 1340303530005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114364269 + ... + 114375987.

It is an arithmetic number, because the mean of its divisors is an integer number (31342889760).

Almost surely, 21340303530032 is an apocalyptic number.

1340303530032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1340303530032 is an abundant number, since it is smaller than the sum of its proper divisors (2420843241168).

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

1340303530032 is a wasteful number, since it uses less digits than its factorization.

1340303530032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13815 (or 13806 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 1340303530032 its reverse (2300353030431), we get a palindrome (3640656560463).

The spelling of 1340303530032 in words is "one trillion, three hundred forty billion, three hundred three million, five hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 503 1006 1509 1579 2012 3018 3158 4024 4527 4737 6036 6316 8048 9054 9474 11719 12072 12632 14211 18108 18948 23438 24144 25264 28422 35157 36216 37896 46876 56844 70314 72432 75792 93752 105471 113688 140628 187504 210942 227376 281256 421884 562512 794237 843768 1588474 1687536 2382711 3176948 4765422 5894657 6353896 7148133 9530844 11789314 12707792 14296266 17683971 18504301 19061688 23578628 28592532 35367942 37008602 38123376 47157256 53051913 55512903 57185064 70735884 74017204 94314512 106103826 111025806 114370128 141471768 148034408 166538709 212207652 222051612 282943536 296068816 333077418 424415304 444103224 666154836 848830608 888206448 1332309672 2664619344 9307663403 18615326806 27922990209 37230653612 55845980418 74461307224 83768970627 111691960836 148922614448 167537941254 223383921672 335075882508 446767843344 670151765016 1340303530032