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145414105312 = 2576110642133
BaseRepresentation
bin1000011101101101011…
…0110010100011100000
3111220100011021221000011
42013123112302203200
54340302002332222
6150445144534304
713335332333620
oct2073326624340
9456304257004
10145414105312
1156740520643
1224222a81394
13109354604c8
1470766c6880
153bb11c5c77
hex21db5b28e0

145414105312 has 48 divisors (see below), whose sum is σ = 332545403232. Its totient is φ = 61298680320.

The previous prime is 145414105289. The next prime is 145414105337. The reversal of 145414105312 is 213501414541.

It is a super-2 number, since 2×1454141053122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5307403 + ... + 5334730.

It is an arithmetic number, because the mean of its divisors is an integer number (6928029234).

Almost surely, 2145414105312 is an apocalyptic number.

It is an amenable number.

145414105312 is an abundant number, since it is smaller than the sum of its proper divisors (187131297920).

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

145414105312 is a wasteful number, since it uses less digits than its factorization.

145414105312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10642211 (or 10642203 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 145414105312 its reverse (213501414541), we get a palindrome (358915519853).

The spelling of 145414105312 in words is "one hundred forty-five billion, four hundred fourteen million, one hundred five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 3416 6832 13664 10642133 21284266 42568532 74494931 85137064 148989862 170274128 297979724 340548256 595959448 649170113 1191918896 1298340226 2383837792 2596680452 4544190791 5193360904 9088381582 10386721808 18176763164 20773443616 36353526328 72707052656 145414105312