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42938955983924 = 227111341271965171
BaseRepresentation
bin10011100001101100000010…
…01101111110110000110100
312122000220221200002222012022
421300312001031332300310
521112002440212441144
6231153514542412312
712021144233526350
oct1160660115766064
9178026850088168
1042938955983924
1112755344266a90
124995a35591098
131ac618428b7a0
14a86383dd4460
154e6e1a234cee
hex270d8137ec34

42938955983924 has 192 divisors, whose sum is σ = 103733783322624. Its totient is φ = 15010323840000.

The previous prime is 42938955983887. The next prime is 42938955983929.

42938955983924 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42938955983929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44005859 + ... + 44971029.

It is an arithmetic number, because the mean of its divisors is an integer number (540280121472).

Almost surely, 242938955983924 is an apocalyptic number.

42938955983924 is a gapful number since it is divisible by the number (44) 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 42938955983924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51866891661312).

42938955983924 is an abundant number, since it is smaller than the sum of its proper divisors (60794827338700).

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

42938955983924 is a wasteful number, since it uses less digits than its factorization.

42938955983924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965518 (or 965516 counting only the distinct ones).

The product of its digits is 6046617600, while the sum is 80.

The spelling of 42938955983924 in words is "forty-two trillion, nine hundred thirty-eight billion, nine hundred fifty-five million, nine hundred eighty-three thousand, nine hundred twenty-four".