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212140303440 = 243513179379853
BaseRepresentation
bin1100010110010010001…
…1000010010001010000
3202021120102101222222120
43011210203002101100
511433430404202230
6241242250534240
721220014553452
oct3054443022120
9667512358876
10212140303440
1181a7174192a
1235145437380
131700a569190
14a3a65c22d2
1557b91ab310
hex31648c2450

212140303440 has 160 divisors (see below), whose sum is σ = 712180667520. Its totient is φ = 51927287808.

The previous prime is 212140303429. The next prime is 212140303469. The reversal of 212140303440 is 44303041212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212140303440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368554 + ... + 748406.

It is an arithmetic number, because the mean of its divisors is an integer number (4451129172).

Almost surely, 2212140303440 is an apocalyptic number.

212140303440 is a gapful number since it is divisible by the number (20) 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 212140303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356090333760).

212140303440 is an abundant number, since it is smaller than the sum of its proper divisors (500040364080).

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

212140303440 is a wasteful number, since it uses less digits than its factorization.

212140303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380061 (or 380055 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212140303440 its reverse (44303041212), we get a palindrome (256443344652).

The spelling of 212140303440 in words is "two hundred twelve billion, one hundred forty million, three hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 179 195 208 240 260 312 358 390 520 537 624 716 780 895 1040 1074 1432 1560 1790 2148 2327 2685 2864 3120 3580 4296 4654 5370 6981 7160 8592 9308 10740 11635 13962 14320 18616 21480 23270 27924 34905 37232 42960 46540 55848 69810 93080 111696 139620 186160 279240 379853 558480 759706 1139559 1519412 1899265 2279118 3038824 3798530 4558236 4938089 5697795 6077648 7597060 9116472 9876178 11395590 14814267 15194120 18232944 19752356 22791180 24690445 29628534 30388240 39504712 45582360 49380890 59257068 67993687 74071335 79009424 91164720 98761780 118514136 135987374 148142670 197523560 203981061 237028272 271974748 296285340 339968435 395047120 407962122 543949496 592570680 679936870 815924244 883917931 1019905305 1087898992 1185141360 1359873740 1631848488 1767835862 2039810610 2651753793 2719747480 3263696976 3535671724 4079621220 4419589655 5303507586 5439494960 7071343448 8159242440 8839179310 10607015172 13258768965 14142686896 16318484880 17678358620 21214030344 26517537930 35356717240 42428060688 53035075860 70713434480 106070151720 212140303440