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213042302440 = 235111935337213
BaseRepresentation
bin1100011001101001001…
…1111000110111101000
3202100220021200021222221
43012122103320313220
511442302312134230
6241511551523424
721251246456242
oct3063223706750
9670807607887
10213042302440
118239490a050
1235357529574
13171223b26b6
14a4502dd092
15581d48027a
hex319a4f8de8

213042302440 has 128 divisors (see below), whose sum is σ = 550676361600. Its totient is φ = 73361617920.

The previous prime is 213042302437. The next prime is 213042302443. The reversal of 213042302440 is 44203240312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213042302437) and next prime (213042302443).

It is not an unprimeable number, because it can be changed into a prime (213042302443) 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, 29532274 + ... + 29539486.

It is an arithmetic number, because the mean of its divisors is an integer number (4302159075).

Almost surely, 2213042302440 is an apocalyptic number.

213042302440 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 213042302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275338180800).

213042302440 is an abundant number, since it is smaller than the sum of its proper divisors (337634059160).

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

213042302440 is a wasteful number, since it uses less digits than its factorization.

213042302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10787 (or 10783 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 213042302440 its reverse (44203240312), we get a palindrome (257245542752).

The spelling of 213042302440 in words is "two hundred thirteen billion, forty-two million, three hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 3533 4180 7066 7213 8360 14132 14426 17665 28264 28852 35330 36065 38863 57704 67127 70660 72130 77726 79343 134254 137047 141320 144260 155452 158686 194315 268508 274094 288520 310904 317372 335635 388630 396715 537016 548188 634744 671270 685235 738397 777260 793430 1096376 1342540 1370470 1476794 1507517 1554520 1586860 2685080 2740940 2953588 3015034 3173720 3691985 5481880 5907176 6030068 7383970 7537585 12060136 14767940 15075170 25483529 29535880 30150340 50967058 60300680 101934116 127417645 203868232 254835290 280318819 484187051 509670580 560637638 968374102 1019341160 1121275276 1401594095 1936748204 2242550552 2420935255 2803188190 3873496408 4841870510 5326057561 5606376380 9683741020 10652115122 11212752760 19367482040 21304230244 26630287805 42608460488 53260575610 106521151220 213042302440