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2442043000452 = 22311113330149597
BaseRepresentation
bin100011100010010101000…
…110110000011010000100
322122110100011201221012210
4203202111012300122010
5310002301002003302
65105505320343420
7341301050004306
oct43422506603204
98573304657183
102442043000452
11861734678750
1233534b314b70
1314938c2a6773
14862a46ad976
15437ca91666c
hex238951b0684

2442043000452 has 96 divisors (see below), whose sum is σ = 6273145517184. Its totient is φ = 733227264000.

The previous prime is 2442043000447. The next prime is 2442043000519. The reversal of 2442043000452 is 2540003402442.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49212918 + ... + 49262514.

It is an arithmetic number, because the mean of its divisors is an integer number (65345265804).

Almost surely, 22442043000452 is an apocalyptic number.

2442043000452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442043000452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136572758592).

2442043000452 is an abundant number, since it is smaller than the sum of its proper divisors (3831102516732).

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

2442043000452 is a wasteful number, since it uses less digits than its factorization.

2442043000452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53029 (or 53027 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 2442043000452 its reverse (2540003402442), we get a palindrome (4982046402894).

The spelling of 2442043000452 in words is "two trillion, four hundred forty-two billion, forty-three million, four hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 1243 1356 2486 3301 3729 4972 6602 7458 9903 13204 14916 19806 36311 39612 49597 72622 99194 108933 145244 148791 198388 217866 297582 373013 435732 545567 595164 746026 1091134 1119039 1492052 1636701 2182268 2238078 3273402 4103143 4476156 5604461 6546804 8206286 11208922 12309429 16412572 16813383 22417844 24618858 33626766 49237716 61649071 67253532 123298142 163719697 184947213 246596284 327439394 369894426 491159091 654878788 739788852 982318182 1800916667 1964636364 3601833334 5402750001 7203666668 10805500002 18500325761 21611000004 37000651522 55500977283 74001303044 111001954566 203503583371 222003909132 407007166742 610510750113 814014333484 1221021500226 2442043000452