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42004224312 = 23319229167177
BaseRepresentation
bin100111000111101001…
…011001100100111000
311000102100100200101120
4213013221121210320
51142011040134222
631144012145240
73014622005241
oct470751314470
9130370320346
1042004224312
11168a5320476
128183168220
133c653785cb
142066845cc8
15115c93115c
hex9c7a59938

42004224312 has 96 divisors (see below), whose sum is σ = 114650672400. Its totient is φ = 12807019008.

The previous prime is 42004224299. The next prime is 42004224371. The reversal of 42004224312 is 21342240024.

42004224312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167668 + ... + 334844.

Almost surely, 242004224312 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 42004224312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57325336200).

42004224312 is an abundant number, since it is smaller than the sum of its proper divisors (72646448088).

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

42004224312 is a wasteful number, since it uses less digits than its factorization.

42004224312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167253 (or 167230 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42004224312 its reverse (21342240024), we get a palindrome (63346464336).

The spelling of 42004224312 in words is "forty-two billion, four million, two hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 361 456 551 696 722 1083 1102 1444 1653 2166 2204 2888 3306 4332 4408 6612 8664 10469 13224 20938 31407 41876 62814 83752 125628 167177 251256 334354 501531 668708 1003062 1337416 2006124 3176363 4012248 4848133 6352726 9529089 9696266 12705452 14544399 19058178 19392532 25410904 29088798 38116356 38785064 58177596 60350897 76232712 92114527 116355192 120701794 181052691 184229054 241403588 276343581 362105382 368458108 482807176 552687162 724210764 736916216 1105374324 1448421528 1750176013 2210748648 3500352026 5250528039 7000704052 10501056078 14001408104 21002112156 42004224312