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42030230110440 = 2335112136715972081
BaseRepresentation
bin10011000111001111011001…
…11011111000000011101000
312111211001101000001120211120
421203213230323320003220
521002110402402013230
6225220230545255240
711565404166203415
oct1143475473700350
9174731330046746
1042030230110440
1112434a14198300
1248698a7034520
131a5b583a91540
14a543b9b9310c
154cd481b29310
hex2639ecef80e8

42030230110440 has 768 divisors, whose sum is σ = 151652156463360. Its totient is φ = 9254736691200.

The previous prime is 42030230110409. The next prime is 42030230110493. The reversal of 42030230110440 is 4401103203024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42030230110440.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20197130200 + ... + 20197132280.

It is an arithmetic number, because the mean of its divisors is an integer number (197463745395).

Almost surely, 242030230110440 is an apocalyptic number.

42030230110440 is a gapful number since it is divisible by the number (40) 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 42030230110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75826078231680).

42030230110440 is an abundant number, since it is smaller than the sum of its proper divisors (109621926352920).

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

42030230110440 is a wasteful number, since it uses less digits than its factorization.

42030230110440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42030230110440 its reverse (4401103203024), we get a palindrome (46431333313464).

The spelling of 42030230110440 in words is "forty-two trillion, thirty billion, two hundred thirty million, one hundred ten thousand, four hundred forty".