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42000002004210 = 2357939744638589
BaseRepresentation
bin10011000110010111000110…
…01100110011010011110010
312111201011100100112200112120
421203023203030303103302
521001112001003113320
6225154311244135110
711563254126430005
oct1143134314632362
9174634310480476
1042000002004210
1112423112214728
124863a6b837496
131a58777381153
14a52b4d32b53c
154cc7b2e93440
hex2632e33334f2

42000002004210 has 64 divisors (see below), whose sum is σ = 102333074803200. Its totient is φ = 11030373649152.

The previous prime is 42000002004197. The next prime is 42000002004217. The reversal of 42000002004210 is 1240020000024.

42000002004210 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42000002004210.

It is not an unprimeable number, because it can be changed into a prime (42000002004217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21378405 + ... + 23260184.

It is an arithmetic number, because the mean of its divisors is an integer number (1598954293800).

Almost surely, 242000002004210 is an apocalyptic number.

42000002004210 is an abundant number, since it is smaller than the sum of its proper divisors (60333072798990).

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

42000002004210 is a wasteful number, since it uses less digits than its factorization.

42000002004210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44639075.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 42000002004210 its reverse (1240020000024), we get a palindrome (43240022004234).

The spelling of 42000002004210 in words is "forty-two trillion, two million, four thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 79 158 237 395 397 474 790 794 1185 1191 1985 2370 2382 3970 5955 11910 31363 62726 94089 156815 188178 313630 470445 940890 44638589 89277178 133915767 223192945 267831534 446385890 669578835 1339157670 3526448531 7052897062 10579345593 17632242655 17721519833 21158691186 35264485310 35443039666 52896727965 53164559499 88607599165 105793455930 106329118998 177215198330 265822797495 531645594990 1400000066807 2800000133614 4200000200421 7000000334035 8400000400842 14000000668070 21000001002105 42000002004210