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42040342212 = 223115310159497
BaseRepresentation
bin100111001001110011…
…001011011011000100
311000111212022122211120
4213021303023123010
51142044311422322
631151342233540
73015541004241
oct471163133304
9130455278746
1042040342212
111691374a380
1281932858b0
133c6c9b314b
14206b5685c8
151160bb7a5c
hex9c9ccb6c4

42040342212 has 96 divisors (see below), whose sum is σ = 110112234624. Its totient is φ = 12375168000.

The previous prime is 42040342189. The next prime is 42040342247. The reversal of 42040342212 is 21224304024.

42040342212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 676848 + ... + 736344.

It is an arithmetic number, because the mean of its divisors is an integer number (1147002444).

Almost surely, 242040342212 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 42040342212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55056117312).

42040342212 is an abundant number, since it is smaller than the sum of its proper divisors (68071892412).

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

42040342212 is a wasteful number, since it uses less digits than its factorization.

42040342212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59669 (or 59667 counting only the distinct ones).

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

Adding to 42040342212 its reverse (21224304024), we get a palindrome (63264646236).

The spelling of 42040342212 in words is "forty-two billion, forty million, three hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 101 106 132 159 202 212 303 318 404 583 606 636 1111 1166 1212 1749 2222 2332 3333 3498 4444 5353 6666 6996 10706 13332 16059 21412 32118 58883 59497 64236 117766 118994 176649 178491 235532 237988 353298 356982 654467 706596 713964 1308934 1963401 2617868 3153341 3926802 6009197 6306682 7853604 9460023 12018394 12613364 18027591 18920046 24036788 34686751 36055182 37840092 66101167 69373502 72110364 104060253 132202334 138747004 198303501 208120506 264404668 318487441 396607002 416241012 636974882 793214004 955462323 1273949764 1910924646 3503361851 3821849292 7006723702 10510085553 14013447404 21020171106 42040342212