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3442313022112 = 253153373317539
BaseRepresentation
bin110010000101111001110…
…110000100101010100000
3110012002012201020212210001
4302011321312010222200
5422344324113201422
611153213214345344
7503461503624436
oct62057166045240
913162181225701
103442313022112
111107970a61938
124771877bb254
131bc7bb4a4c23
14bc874924d56
155e820c19227
hex32179d84aa0

3442313022112 has 96 divisors (see below), whose sum is σ = 7129978007040. Its totient is φ = 1633677327360.

The previous prime is 3442313022107. The next prime is 3442313022119. The reversal of 3442313022112 is 2112203132443.

It is not an unprimeable number, because it can be changed into a prime (3442313022119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196257439 + ... + 196274977.

It is an arithmetic number, because the mean of its divisors is an integer number (74270604240).

Almost surely, 23442313022112 is an apocalyptic number.

3442313022112 is a gapful number since it is divisible by the number (32) 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 3442313022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564989003520).

3442313022112 is an abundant number, since it is smaller than the sum of its proper divisors (3687664984928).

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

3442313022112 is a wasteful number, since it uses less digits than its factorization.

3442313022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21366 (or 21358 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 3442313022112 its reverse (2112203132443), we get a palindrome (5554516154555).

The spelling of 3442313022112 in words is "three trillion, four hundred forty-two billion, three hundred thirteen million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 53 62 106 124 212 248 424 496 848 992 1643 1696 3286 3733 6572 7466 13144 14932 17539 26288 29864 35078 52576 59728 70156 115723 119456 140312 197849 231446 280624 395698 462892 543709 561248 791396 925784 929567 1087418 1582792 1851568 1859134 2174836 3165584 3703136 3718268 4349672 6133319 6331168 7436536 8699344 12266638 14873072 17398688 24533276 28816577 29746144 49066552 57633154 65473087 98133104 115266308 130946174 196266208 230532616 261892348 461065232 523784696 922130464 1047569392 2029665697 2095138784 3470073611 4059331394 6940147222 8118662788 13880294444 16237325576 27760588888 32474651152 55521177776 64949302304 107572281941 111042355552 215144563882 430289127764 860578255528 1721156511056 3442313022112