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4003342421144 = 2311971553301993
BaseRepresentation
bin111010010000011001110…
…011011000110010011000
3112011201022211001021202212
4322100121303120302120
51011042321124434034
612303035441414252
7562142362056143
oct72203163306230
915151284037685
104003342421144
1113038984800a0
12547a5b33a388
1323068a411621
14dba971dd05a
156e20963c2ce
hex3a419cd8c98

4003342421144 has 64 divisors (see below), whose sum is σ = 8278428644640. Its totient is φ = 1799775682560.

The previous prime is 4003342421021. The next prime is 4003342421179. The reversal of 4003342421144 is 4411242433004.

It is a super-2 number, since 2×40033424211442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4003342421144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13105412 + ... + 13407404.

Almost surely, 24003342421144 is an apocalyptic number.

4003342421144 is a gapful number since it is divisible by the number (44) 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 4003342421144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139214322320).

4003342421144 is an abundant number, since it is smaller than the sum of its proper divisors (4275086223496).

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

4003342421144 is a wasteful number, since it uses less digits than its factorization.

4003342421144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303660 (or 303656 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4003342421144 its reverse (4411242433004), we get a palindrome (8414584854148).

The spelling of 4003342421144 in words is "four trillion, three billion, three hundred forty-two million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 97 194 388 776 1067 1553 2134 3106 4268 6212 8536 12424 17083 34166 68332 136664 150641 301282 301993 602564 603986 1205128 1207972 1657051 2415944 3314102 3321923 6628204 6643846 13256408 13287692 26575384 29293321 58586642 117173284 234346568 322226531 468995129 644453062 937990258 1288906124 1875980516 2577812248 3751961032 5158946419 10317892838 20635785676 41271571352 45492527513 90985055026 181970110052 363940220104 500417802643 1000835605286 2001671210572 4003342421144