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145411043584 = 28238332
BaseRepresentation
bin1000011101101100101…
…1000111000100000000
3111220022221112101002211
42013123023013010000
54340300211343314
6150444555151504
713335264322402
oct2073313070400
9456287471084
10145411043584
115673981a294
1224221a45594
131093492aa31
14707612ab72
153bb0cbd9c4
hex21db2c7100

145411043584 has 27 divisors (see below), whose sum is σ = 290266254453. Its totient is φ = 72702471168.

The previous prime is 145411043551. The next prime is 145411043629. The reversal of 145411043584 is 485340114541.

It is a happy number.

The square root of 145411043584 is 381328.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 128164000000 + 17247043584 = 358000^2 + 131328^2 .

It is a super-2 number, since 2×1454110435842 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6089332 + ... + 6113164.

Almost surely, 2145411043584 is an apocalyptic number.

145411043584 is the 381328-th square number.

It is an amenable number.

145411043584 is a deficient number, since it is larger than the sum of its proper divisors (144855210869).

145411043584 is an frugal number, since it uses more digits than its factorization.

145411043584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47682 (or 23835 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 145411043584 in words is "one hundred forty-five billion, four hundred eleven million, forty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 23833 47666 95332 190664 381328 762656 1525312 3050624 6101248 568011889 1136023778 2272047556 4544095112 9088190224 18176380448 36352760896 72705521792 145411043584