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42045311532 = 22373182919477
BaseRepresentation
bin100111001010000110…
…001000101000101100
311000112012200010110110
4213022012020220230
51142102044432112
631152040540020
73015631152120
oct471206105054
9130465603413
1042045311532
1116916533954
128194a81610
133c70a32c83
14206c09d580
15116134a13c
hex9ca188a2c

42045311532 has 96 divisors (see below), whose sum is σ = 115883192320. Its totient is φ = 11610812160.

The previous prime is 42045311479. The next prime is 42045311617. The reversal of 42045311532 is 23511354024.

It is a self number, because there is not a number n which added to its sum of digits gives 42045311532.

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, 2148978 + ... + 2168454.

Almost surely, 242045311532 is an apocalyptic number.

42045311532 is a gapful number since it is divisible by the number (42) 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 42045311532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57941596160).

42045311532 is an abundant number, since it is smaller than the sum of its proper divisors (73837880788).

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

42045311532 is a wasteful number, since it uses less digits than its factorization.

42045311532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20351 (or 20349 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 42045311532 its reverse (23511354024), we get a palindrome (65556665556).

It can be divided in two parts, 420453 and 11532, that added together give a triangular number (431985 = T929).

The spelling of 42045311532 in words is "forty-two billion, forty-five million, three hundred eleven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 829 868 1302 1658 2487 2604 3316 4974 5803 9948 11606 17409 19477 23212 25699 34818 38954 51398 58431 69636 77097 77908 102796 116862 136339 154194 179893 233724 272678 308388 359786 409017 539679 545356 603787 719572 818034 1079358 1207574 1636068 1811361 2158716 2415148 3622722 4226509 7245444 8453018 12679527 16146433 16906036 25359054 32292866 48439299 50718108 64585732 96878598 113025031 193757196 226050062 339075093 452100124 500539423 678150186 1001078846 1356300372 1501618269 2002157692 3003236538 3503775961 6006473076 7007551922 10511327883 14015103844 21022655766 42045311532