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4402240422240 = 25359171334213
BaseRepresentation
bin100000000001111100111…
…1110100000000101100000
3120120211221201000022110110
41000003321332200011200
51034111242022002430
613210210014131320
7633023423120313
oct100037176400540
916524851008413
104402240422240
111447a85a523a1
125b12254b0b40
1325c18b64c1bb
141130d8ca297a
15797a44077b0
hex400f9fa0160

4402240422240 has 48 divisors (see below), whose sum is σ = 13867057331568. Its totient is φ = 1173930779136.

The previous prime is 4402240422199. The next prime is 4402240422347. The reversal of 4402240422240 is 422240422044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4402240422198 and 4402240422207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4585666627 + ... + 4585667586.

It is an arithmetic number, because the mean of its divisors is an integer number (288897027741).

Almost surely, 24402240422240 is an apocalyptic number.

4402240422240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4402240422240 is an abundant number, since it is smaller than the sum of its proper divisors (9464816909328).

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

4402240422240 is a wasteful number, since it uses less digits than its factorization.

4402240422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9171334231 (or 9171334223 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 4402240422240 its reverse (422240422044), we get a palindrome (4824480844284).

The spelling of 4402240422240 in words is "four trillion, four hundred two billion, two hundred forty million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 9171334213 18342668426 27514002639 36685336852 45856671065 55028005278 73370673704 91713342130 110056010556 137570013195 146741347408 183426684260 220112021112 275140026390 293482694816 366853368520 440224042224 550280052780 733706737040 880448084448 1100560105560 1467413474080 2201120211120 4402240422240