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42019221031722 = 2321119109102471409
BaseRepresentation
bin10011000110111010111001…
…01111100100101100101010
312111202222221202112102221100
421203131130233210230222
521001420331041003342
6225211210314422230
711564534316446124
oct1143353457445452
9174688852472840
1042019221031722
1112430284919540
124867734131976
131a5a51b00878c
14a53a539dc214
154cd03a394e4c
hex26375cbe4b2a

42019221031722 has 96 divisors (see below), whose sum is σ = 105504563736000. Its totient is φ = 11952265029120.

The previous prime is 42019221031717. The next prime is 42019221031727. The reversal of 42019221031722 is 22713012291024.

42019221031722 is a `hidden beast` number, since 4 + 20 + 1 + 92 + 210 + 317 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (42019221031717) and next prime (42019221031727).

It is a super-2 number, since 2×420192210317222 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42019221031727) 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, 50825647 + ... + 51645762.

It is an arithmetic number, because the mean of its divisors is an integer number (1099005872250).

Almost surely, 242019221031722 is an apocalyptic number.

42019221031722 is an abundant number, since it is smaller than the sum of its proper divisors (63485342704278).

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

42019221031722 is a wasteful number, since it uses less digits than its factorization.

42019221031722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102471556 (or 102471553 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 42019221031722 in words is "forty-two trillion, nineteen billion, two hundred twenty-one million, thirty-one thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 109 114 171 198 209 218 327 342 418 627 654 981 1199 1254 1881 1962 2071 2398 3597 3762 4142 6213 7194 10791 12426 18639 21582 22781 37278 45562 68343 136686 205029 410058 102471409 204942818 307414227 614828454 922242681 1127185499 1844485362 1946956771 2254370998 3381556497 3893913542 5840870313 6763112994 10144669491 11169383581 11681740626 17522610939 20289338982 21416524481 22338767162 33508150743 35045221878 42833048962 64249573443 67016301486 100524452229 122863219391 128499146886 192748720329 201048904458 212218288039 245726438782 368589658173 385497440658 424436576078 636654864117 737179316346 1105768974519 1273309728234 1909964592351 2211537949038 2334401168429 3819929184702 4668802336858 7003203505287 14006407010574 21009610515861 42019221031722