Search a number
-
+
21131022142440 = 2333572795108749
BaseRepresentation
bin1001100110111111100110…
…00100011000101111101000
32202211002212021011101121000
410303133303010120233220
510232202313132024230
6112535242455515000
74310444266430250
oct463376304305750
982732767141530
1021131022142440
116807686129881
122453400688a60
13ba38541448c2
14530a65802960
152699ee067b60
hex1337f3118be8

21131022142440 has 128 divisors (see below), whose sum is σ = 80499132000000. Its totient is φ = 4829947916544.

The previous prime is 21131022142403. The next prime is 21131022142441. The reversal of 21131022142440 is 4424122013112.

21131022142440 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 1 + 0 + 2 + 214 + 2 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21131022142441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1397546815 + ... + 1397561934.

It is an arithmetic number, because the mean of its divisors is an integer number (628899468750).

Almost surely, 221131022142440 is an apocalyptic number.

21131022142440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21131022142440 is an abundant number, since it is smaller than the sum of its proper divisors (59368109857560).

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

21131022142440 is a wasteful number, since it uses less digits than its factorization.

21131022142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795108776 (or 2795108766 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21131022142440 its reverse (4424122013112), we get a palindrome (25555144155552).

The spelling of 21131022142440 in words is "twenty-one trillion, one hundred thirty-one billion, twenty-two million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 2795108749 5590217498 8385326247 11180434996 13975543745 16770652494 19565761243 22360869992 25155978741 27951087490 33541304988 39131522486 41926631235 50311957482 55902174980 58697283729 67082609976 75467936223 78263044972 83853262470 97828806215 100623914964 111804349960 117394567458 125779893705 150935872446 156526089944 167706524940 176091851187 195657612430 201247829928 234789134916 251559787410 293486418645 301871744892 335413049880 352183702374 377339681115 391315224860 469578269832 503119574820 528275553561 586972837290 603743489784 704367404748 754679362230 782630449720 880459255935 1006239149640 1056551107122 1173945674580 1408734809496 1509358724460 1760918511870 2113102214244 2347891349160 2641377767805 3018717448920 3521837023740 4226204428488 5282755535610 7043674047480 10565511071220 21131022142440