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145541445444 = 2232191429314887
BaseRepresentation
bin1000011110001011110…
…0100011011101000100
3111220200000220110211100
42013202330203131010
54341032102223234
6150505534140100
713341436605633
oct2074274433504
9456600813740
10145541445444
11567a639611a
1224259651630
13109559573b5
14708959351a
153bbc47b399
hex21e2f23744

145541445444 has 72 divisors (see below), whose sum is σ = 387312511040. Its totient is φ = 45954153792.

The previous prime is 145541445431. The next prime is 145541445503. The reversal of 145541445444 is 444544145541.

145541445444 is a `hidden beast` number, since 1 + 4 + 554 + 1 + 4 + 4 + 54 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145541445444.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9768969 + ... + 9783855.

Almost surely, 2145541445444 is an apocalyptic number.

It is an amenable number.

145541445444 is an abundant number, since it is smaller than the sum of its proper divisors (241771065596).

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

145541445444 is a wasteful number, since it uses less digits than its factorization.

145541445444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29209 (or 29204 counting only the distinct ones).

The product of its digits is 2048000, while the sum is 45.

The spelling of 145541445444 in words is "one hundred forty-five billion, five hundred forty-one million, four hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 14293 14887 28586 29774 42879 44661 57172 59548 85758 89322 128637 133983 171516 178644 257274 267966 271567 282853 514548 535932 543134 565706 814701 848559 1086268 1131412 1629402 1697118 2444103 2545677 3258804 3394236 4888206 5091354 9776412 10182708 212779891 425559782 638339673 851119564 1276679346 1915019019 2553358692 3830038038 4042817929 7660076076 8085635858 12128453787 16171271716 24256907574 36385361361 48513815148 72770722722 145541445444