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4407312233413 = 173711777594961
BaseRepresentation
bin100000000100010100001…
…0001111011001111000101
3120121100001011112000102201
41000020220101323033011
51034202133412432123
613212405152434501
7633263206603645
oct100105021731705
916540034460381
104407312233413
11144a148948181
125b21bbb48a31
1325c7b9331abb
1411345a6d8525
157999e7e65ad
hex4022847b3c5

4407312233413 has 16 divisors (see below), whose sum is σ = 4793104306224. Its totient is φ = 4035599400960.

The previous prime is 4407312233381. The next prime is 4407312233431. The reversal of 4407312233413 is 3143322137044.

It can be written as a sum of positive squares in 8 ways, for example, as 2237650990884 + 2169661242529 = 1495878^2 + 1472977^2 .

It is not a de Polignac number, because 4407312233413 - 25 = 4407312233381 is a prime.

It is a super-2 number, since 2×44073122334132 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4407312233113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7110253 + ... + 7705213.

It is an arithmetic number, because the mean of its divisors is an integer number (299569019139).

Almost surely, 24407312233413 is an apocalyptic number.

It is an amenable number.

4407312233413 is a deficient number, since it is larger than the sum of its proper divisors (385792072811).

4407312233413 is a wasteful number, since it uses less digits than its factorization.

4407312233413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606792.

The product of its (nonzero) digits is 145152, while the sum is 37.

The spelling of 4407312233413 in words is "four trillion, four hundred seven billion, three hundred twelve million, two hundred thirty-three thousand, four hundred thirteen".

Divisors: 1 17 37 629 11777 200209 435749 594961 7407733 10114337 22013557 374230469 7006855697 119116546849 259253660789 4407312233413