Search a number
-
+
244452463016352 = 25315171923454023
BaseRepresentation
bin110111100101010000000110…
…001110001111100110100000
31012001112102112110020111200120
4313211100012032033212200
5224020102121013010402
62223523524452320240
7102330051626514063
oct6745200616174640
91161472473214616
10244452463016352
1170987786568038
1223500637313080
13a6529cb0b0936
1444517c30b68da
151d3db823773bc
hexde540638f9a0

244452463016352 has 96 divisors (see below), whose sum is σ = 646835713413120. Its totient is φ = 80831941420800.

The previous prime is 244452463016347. The next prime is 244452463016417. The reversal of 244452463016352 is 253610364254442.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 244452463016295 and 244452463016304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1304388 + ... + 22149635.

It is an arithmetic number, because the mean of its divisors is an integer number (6737872014720).

Almost surely, 2244452463016352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244452463016352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323417856706560).

244452463016352 is an abundant number, since it is smaller than the sum of its proper divisors (402383250396768).

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

244452463016352 is a wasteful number, since it uses less digits than its factorization.

244452463016352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23454906 (or 23454898 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 51.

The spelling of 244452463016352 in words is "two hundred forty-four trillion, four hundred fifty-two billion, four hundred sixty-three million, sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 719 906 1208 1438 1812 2157 2416 2876 3624 4314 4832 5752 7248 8628 11504 14496 17256 23008 34512 69024 108569 217138 325707 434276 651414 868552 1302828 1737104 2605656 3474208 5211312 10422624 23454023 46908046 70362069 93816092 140724138 187632184 281448276 375264368 562896552 750528736 1125793104 2251586208 3541557473 7083114946 10624672419 14166229892 16863442537 21249344838 28332459784 33726885074 42498689676 50590327611 56664919568 67453770148 84997379352 101180655222 113329839136 134907540296 169994758704 202361310444 269815080592 339989517408 404722620888 539630161184 809445241776 1618890483552 2546379823087 5092759646174 7639139469261 10185519292348 15278278938522 20371038584696 30556557877044 40742077169392 61113115754088 81484154338784 122226231508176 244452463016352