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40042021212 = 223223795031217
BaseRepresentation
bin100101010010101100…
…001100000101011100
310211100121010102202200
4211102230030011130
51124001224134322
630221155251500
72615164364424
oct452254140534
9124317112680
1040042021212
1115a8874a216
127915ba9b90
133a119a609b
141d1bdc9484
1510955378ac
hex952b0c15c

40042021212 has 144 divisors (see below), whose sum is σ = 107255715840. Its totient is φ = 12570015744.

The previous prime is 40042021211. The next prime is 40042021249. The reversal of 40042021212 is 21212024004.

40042021212 is a `hidden beast` number, since 400 + 42 + 0 + 212 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40042021211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32901628 + ... + 32902844.

It is an arithmetic number, because the mean of its divisors is an integer number (744831360).

Almost surely, 240042021212 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 40042021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53627857920).

40042021212 is an abundant number, since it is smaller than the sum of its proper divisors (67213694628).

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

40042021212 is a wasteful number, since it uses less digits than its factorization.

40042021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40042021212 its reverse (21212024004), we get a palindrome (61254045216).

The spelling of 40042021212 in words is "forty billion, forty-two million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 79 92 138 158 207 237 276 316 414 474 503 711 828 948 1006 1217 1422 1509 1817 2012 2434 2844 3018 3634 3651 4527 4868 5451 6036 7268 7302 9054 10902 10953 11569 14604 16353 18108 21804 21906 23138 27991 32706 34707 39737 43812 46276 55982 65412 69414 79474 83973 96143 104121 111964 119211 138828 158948 167946 192286 208242 238422 251919 288429 335892 357633 384572 416484 476844 503838 576858 612151 715266 865287 913951 1007676 1153716 1224302 1430532 1730574 1827902 1836453 2211289 2448604 2741853 3461148 3655804 3672906 4422578 5483706 5509359 6633867 7345812 8225559 8845156 10967412 11018718 13267734 14079473 16451118 19901601 22037436 26535468 28158946 32902236 39803202 42238419 48359929 56317892 79606404 84476838 96719858 126715257 145079787 168953676 193439716 253430514 290159574 435239361 506861028 580319148 870478722 1112278367 1740957444 2224556734 3336835101 4449113468 6673670202 10010505303 13347340404 20021010606 40042021212