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10041022134444 = 2237712163145477
BaseRepresentation
bin1001001000011101101110…
…0011101011100010101100
31022112220122002121121012010
42102013123203223202230
52304003003131300234
633204440515441220
72054303613625020
oct222073343534254
938486562547163
1010041022134444
113221412253874
121162025bb6210
1357ab30bc7a62
14269db936a380
151262cb52e6e9
hex921db8eb8ac

10041022134444 has 144 divisors (see below), whose sum is σ = 27325302658304. Its totient is φ = 2811085119360.

The previous prime is 10041022134431. The next prime is 10041022134461. The reversal of 10041022134444 is 44443122014001.

It is a happy number.

10041022134444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100410221344442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68948634 + ... + 69094110.

Almost surely, 210041022134444 is an apocalyptic number.

10041022134444 is a gapful number since it is divisible by the number (14) 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 10041022134444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662651329152).

10041022134444 is an abundant number, since it is smaller than the sum of its proper divisors (17284280523860).

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

10041022134444 is a wasteful number, since it uses less digits than its factorization.

10041022134444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145796 (or 145723 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 10041022134444 its reverse (44443122014001), we get a palindrome (54484144148445).

The spelling of 10041022134444 in words is "ten trillion, forty-one billion, twenty-two million, one hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 163 213 284 326 426 489 497 652 852 978 994 1141 1491 1956 1988 2282 2982 3423 4564 5041 5964 6846 10082 11573 13692 15123 20164 23146 30246 34719 35287 46292 60492 69438 70574 81011 105861 138876 141148 145477 162022 211722 243033 290954 324044 423444 436431 486066 581908 821683 872862 972132 1018339 1643366 1745724 2036678 2465049 3055017 3286732 4073356 4930098 5751781 6110034 9860196 10328867 11503562 12220068 17255343 20657734 23007124 23712751 30986601 34510686 41315468 47425502 61973202 69021372 71138253 72302069 94851004 123946404 142276506 144604138 165989257 216906207 284553012 289208276 331978514 433812414 497967771 663957028 733349557 867624828 995935542 1466699114 1683605321 1991871084 2200048671 2933398228 3367210642 4400097342 5050815963 5133446899 6734421284 8800194684 10101631926 10266893798 11785237247 15400340697 20203263852 20533787596 23570474494 30800681394 35355711741 47140948988 61601362788 70711423482 119535977791 141422846964 239071955582 358607933373 478143911164 717215866746 836751844537 1434431733492 1673503689074 2510255533611 3347007378148 5020511067222 10041022134444