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30130070448 = 2436739723599
BaseRepresentation
bin11100000011111001…
…000110001110110000
32212202211001011111010
4130003321012032300
5443201244223243
621501435550520
72114436241662
oct340371061660
985684034433
1030130070448
1111861703975
125a0a5bb440
132ac230696a
14165b826532
15bb526d433
hex703e463b0

30130070448 has 80 divisors (see below), whose sum is σ = 79200089600. Its totient is φ = 9868117248.

The previous prime is 30130070407. The next prime is 30130070471. The reversal of 30130070448 is 84407003103.

It is a super-2 number, since 2×301300704482 (a number of 22 digits) contains 22 as substring.

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, 1264953 + ... + 1288551.

It is an arithmetic number, because the mean of its divisors is an integer number (990001120).

Almost surely, 230130070448 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 30130070448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39600044800).

30130070448 is an abundant number, since it is smaller than the sum of its proper divisors (49070019152).

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

30130070448 is a wasteful number, since it uses less digits than its factorization.

30130070448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24074 (or 24068 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 30130070448 in words is "thirty billion, one hundred thirty million, seventy thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 397 402 536 794 804 1072 1191 1588 1608 2382 3176 3216 4764 6352 9528 19056 23599 26599 47198 53198 70797 79797 94396 106396 141594 159594 188792 212792 283188 319188 377584 425584 566376 638376 1132752 1276752 1581133 3162266 4743399 6324532 9368803 9486798 12649064 18737606 18973596 25298128 28106409 37475212 37947192 56212818 74950424 75894384 112425636 149900848 224851272 449702544 627709801 1255419602 1883129403 2510839204 3766258806 5021678408 7532517612 10043356816 15065035224 30130070448