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145316136042 = 23271129531427
BaseRepresentation
bin1000011101010110000…
…1000100010001101010
3111220002022221120102200
42013111201010101222
54340101412323132
6150431325041030
713333032530130
oct2072541042152
9456068846380
10145316136042
11566a0196900
12241b60b6176
131091b07b11c
1470676a3750
153ba77c2d7c
hex21d584446a

145316136042 has 72 divisors (see below), whose sum is σ = 395516136288. Its totient is φ = 37744446960.

The previous prime is 145316135981. The next prime is 145316136103. The reversal of 145316136042 is 240631613541.

145316136042 is a `hidden beast` number, since 1 + 4 + 5 + 31 + 6 + 13 + 604 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (145316135981) and next prime (145316136103).

It is a super-2 number, since 2×1453161360422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145316135988 and 145316136006.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4750468 + ... + 4780959.

Almost surely, 2145316136042 is an apocalyptic number.

145316136042 is an abundant number, since it is smaller than the sum of its proper divisors (250200000246).

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

145316136042 is a wasteful number, since it uses less digits than its factorization.

145316136042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531464 (or 9531450 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 145316136042 its reverse (240631613541), we get a palindrome (385947749583).

The spelling of 145316136042 in words is "one hundred forty-five billion, three hundred sixteen million, one hundred thirty-six thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 7623 15246 9531427 19062854 28594281 57188562 66719989 85782843 104845697 133439978 171565686 200159967 209691394 314537091 400319934 600479901 629074182 733919879 943611273 1153302667 1200959802 1467839758 1887222546 2201759637 2306605334 3459908001 4403519274 6605278911 6919816002 8073118669 10379724003 13210557822 16146237338 20759448006 24219356007 48438712014 72658068021 145316136042