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4342752620448 = 25311193117214057
BaseRepresentation
bin111111001100100000001…
…110100010111110100000
3120101011101220012212120020
4333030200032202332200
51032122424132323243
613123011044113440
7625516313132664
oct77144016427640
916334356185506
104342752620448
111424829703440
125a17a3095880
1325669b058398
1411029445c8a4
1577e71b2c283
hex3f3203a2fa0

4342752620448 has 384 divisors, whose sum is σ = 13524055695360. Its totient is φ = 1205508096000.

The previous prime is 4342752620431. The next prime is 4342752620473. The reversal of 4342752620448 is 8440262572434.

It is a super-3 number, since 3×43427526204483 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4342752620448.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1070432436 + ... + 1070436492.

It is an arithmetic number, because the mean of its divisors is an integer number (35218895040).

Almost surely, 24342752620448 is an apocalyptic number.

4342752620448 is a gapful number since it is divisible by the number (48) 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 4342752620448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762027847680).

4342752620448 is an abundant number, since it is smaller than the sum of its proper divisors (9181303074912).

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

4342752620448 is a wasteful number, since it uses less digits than its factorization.

4342752620448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5852 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 51.

The spelling of 4342752620448 in words is "four trillion, three hundred forty-two billion, seven hundred fifty-two million, six hundred twenty thousand, four hundred forty-eight".