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451242042160 = 24571361983797
BaseRepresentation
bin1101001000100000001…
…11110010001100110000
31121010201211111211011011
412210100013302030300
524343120430322120
6543144151000304
744413125033640
oct6442007621460
91533654454134
10451242042160
11164409407078
1273554069094
1333723802750
1417ba9848520
15bb10330c5a
hex69101f2330

451242042160 has 80 divisors (see below), whose sum is σ = 1291246479936. Its totient is φ = 142810665984.

The previous prime is 451242042149. The next prime is 451242042161. The reversal of 451242042160 is 61240242154.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×4512420421604 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (451242042161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30984619 + ... + 30999178.

Almost surely, 2451242042160 is an apocalyptic number.

451242042160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451242042160 is an abundant number, since it is smaller than the sum of its proper divisors (840004437776).

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

451242042160 is a wasteful number, since it uses less digits than its factorization.

451242042160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61983830 (or 61983824 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 451242042160 in words is "four hundred fifty-one billion, two hundred forty-two million, forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 61983797 123967594 247935188 309918985 433886579 495870376 619837970 805789361 867773158 991740752 1239675940 1611578722 1735546316 2169432895 2479351880 3223157444 3471092632 4028946805 4338865790 4958703760 5640525527 6446314888 6942185264 8057893610 8677731580 11281051054 12892629776 16115787220 17355463160 22562102108 28202627635 32231574440 34710926320 45124204216 56405255270 64463148880 90248408432 112810510540 225621021080 451242042160