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42005030010 = 2357383922861
BaseRepresentation
bin100111000111101100…
…011110010001111010
311000102101212121121020
4213013230132101322
51142011241430020
631144041323310
73014631602226
oct470754362172
9130371777536
1042005030010
11168a5820839
128183496536
133c6559b258
1420669b5786
15115ca3ec40
hex9c7b1e47a

42005030010 has 64 divisors (see below), whose sum is σ = 102319338240. Its totient is φ = 11034247680.

The previous prime is 42005030003. The next prime is 42005030027. The reversal of 42005030010 is 1003050024.

It is a super-2 number, since 2×420050300102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1825980 + ... + 1848840.

It is an arithmetic number, because the mean of its divisors is an integer number (1598739660).

Almost surely, 242005030010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42005030010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51159669120).

42005030010 is an abundant number, since it is smaller than the sum of its proper divisors (60314308230).

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

42005030010 is a wasteful number, since it uses less digits than its factorization.

42005030010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23783.

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 42005030010 its reverse (1003050024), we get a palindrome (43008080034).

The spelling of 42005030010 in words is "forty-two billion, five million, thirty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 839 1095 1678 2190 2517 4195 5034 8390 12585 22861 25170 45722 61247 68583 114305 122494 137166 183741 228610 306235 342915 367482 612470 685830 918705 1668853 1837410 3337706 5006559 8344265 10013118 16688530 19180379 25032795 38360758 50065590 57541137 95901895 115082274 191803790 287705685 575411370 1400167667 2800335334 4200503001 7000838335 8401006002 14001676670 21002515005 42005030010