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145540203131330 = 25721738653452017
BaseRepresentation
bin100001000101111000111000…
…000110111011000111000010
3201002022111200222212001112222
4201011320320012323013002
5123034012314000200310
61233312125111251042
742440634623640200
oct4105707006730702
9632274628761488
10145540203131330
1142412287495877
12143a67bb679a82
1363294c7ab7627
1427d227d420070
1511c5c7c0a0055
hex845e381bb1c2

145540203131330 has 96 divisors (see below), whose sum is σ = 322678506061296. Its totient is φ = 46962914697216.

The previous prime is 145540203131329. The next prime is 145540203131363. The reversal of 145540203131330 is 33131302045541.

It can be written as a sum of positive squares in 8 ways, for example, as 13909028529361 + 131631174601969 = 3729481^2 + 11473063^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 321753482 + ... + 322205498.

Almost surely, 2145540203131330 is an apocalyptic number.

145540203131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145540203131330 is an abundant number, since it is smaller than the sum of its proper divisors (177138302929966).

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

145540203131330 is a wasteful number, since it uses less digits than its factorization.

145540203131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490708 (or 490701 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 145540203131330 its reverse (33131302045541), we get a palindrome (178671505176871).

The spelling of 145540203131330 in words is "one hundred forty-five trillion, five hundred forty billion, two hundred three million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 833 1190 1666 4165 8330 38653 77306 193265 270571 386530 452017 541142 657101 904034 1314202 1352855 1893997 2260085 2705710 3164119 3285505 3787994 4520170 4599707 6328238 6571010 7684289 9199414 9469985 15368578 15820595 18939970 22148833 22998535 31641190 32197949 38421445 44297666 45997070 53790023 64395898 76842890 107580046 110744165 160989745 221488330 268950115 321979490 376530161 537900230 753060322 1882650805 3765301610 17471813101 34943626202 87359065505 122302691707 174718131010 244605383414 297020822717 594041645434 611513458535 856118841949 1223026917070 1485104113585 1712237683898 2079145759019 2970208227170 4158291518038 4280594209745 8561188419490 10395728795095 14554020313133 20791457590190 29108040626266 72770101565665 145540203131330