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2102444255340 = 22325111381680041
BaseRepresentation
bin11110100110000011011…
…100010110100001101100
321102222202221210020012100
4132212003130112201230
5233421301212132330
64245503300535100
7304616346210312
oct36460334264154
97388687706170
102102444255340
11740706a76120
1229b5743b1490
1312334b586140
1473a8a3b00b2
1539a51ad1060
hex1e98371686c

2102444255340 has 144 divisors (see below), whose sum is σ = 7492346892576. Its totient is φ = 470477030400.

The previous prime is 2102444255297. The next prime is 2102444255341. The reversal of 2102444255340 is 435524442012.

2102444255340 is a `hidden beast` number, since 2 + 1 + 0 + 24 + 4 + 42 + 553 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2102444255295 and 2102444255304.

It is not an unprimeable number, because it can be changed into a prime (2102444255341) 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, 40814281 + ... + 40865760.

It is an arithmetic number, because the mean of its divisors is an integer number (52030186754).

Almost surely, 22102444255340 is an apocalyptic number.

2102444255340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102444255340 is an abundant number, since it is smaller than the sum of its proper divisors (5389902637236).

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

2102444255340 is a wasteful number, since it uses less digits than its factorization.

2102444255340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81680080 (or 81680075 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 2102444255340 its reverse (435524442012), we get a palindrome (2537968697352).

The spelling of 2102444255340 in words is "two trillion, one hundred two billion, four hundred forty-four million, two hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 81680041 163360082 245040123 326720164 408400205 490080246 735120369 816800410 898480451 980160492 1061840533 1225200615 1470240738 1633600820 1796960902 2123681066 2450401230 2695441353 2940481476 3185521599 3593921804 3675601845 4247362132 4492402255 4900802460 5309202665 5390882706 6371043198 7351203690 8086324059 8984804510 9556564797 10618405330 10781765412 11680245863 12742086396 13477206765 14702407380 15927607995 16172648118 17969609020 19113129594 21236810660 23360491726 26954413530 31855215990 32345296236 35040737589 38226259188 40431620295 46720983452 47782823985 53908827060 58401229315 63710431980 70081475178 80863240590 95565647970 105122212767 116802458630 140162950356 161726481180 175203687945 191131295940 210244425534 233604917260 350407375890 420488851068 525611063835 700814751780 1051222127670 2102444255340