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241001661216 = 25331421119231
BaseRepresentation
bin1110000001110011010…
…0011000001100100000
3212001001211010212212110
43200130310120030200
512422032411124331
6302414205555320
723261150214621
oct3403464301440
9761054125773
10241001661216
1193232178128
123a85ab75b40
1319959a70a84
14b94370da48
156407d69946
hex381cd18320

241001661216 has 96 divisors (see below), whose sum is σ = 653225803776. Its totient is φ = 77719968000.

The previous prime is 241001661211. The next prime is 241001661217. The reversal of 241001661216 is 612166100142.

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

It is not an unprimeable number, because it can be changed into a prime (241001661211) 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, 12522321 + ... + 12541551.

It is an arithmetic number, because the mean of its divisors is an integer number (6804435456).

Almost surely, 2241001661216 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 241001661216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326612901888).

241001661216 is an abundant number, since it is smaller than the sum of its proper divisors (412224142560).

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

241001661216 is a wasteful number, since it uses less digits than its factorization.

241001661216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23486 (or 23478 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 241001661216 its reverse (612166100142), we get a palindrome (853167761358).

The spelling of 241001661216 in words is "two hundred forty-one billion, one million, six hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4211 8422 12633 16844 19231 25266 33688 38462 50532 57693 67376 76924 101064 115386 130541 134752 153848 202128 230772 261082 307696 391623 404256 461544 522164 596161 615392 783246 923088 1044328 1192322 1566492 1788483 1846176 2088656 2384644 3132984 3576966 4177312 4769288 6265968 7153932 9538576 12531936 14307864 19077152 28615728 57231456 80981741 161963482 242945223 323926964 485890446 647853928 971780892 1295707856 1943561784 2510433971 2591415712 3887123568 5020867942 7531301913 7774247136 10041735884 15062603826 20083471768 30125207652 40166943536 60250415304 80333887072 120500830608 241001661216