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4434202421231 = 111753618397911
BaseRepresentation
bin100000010000110101100…
…0011110110011111101111
3120200220110012011002110212
41000201223003312133233
51040122221304434411
613233013334453035
7635234445456662
oct100415303663757
916626405132425
104434202421231
11145a5977382a0
125b746550417b
132621b334493b
1411488bb136d9
157a5253d968b
hex4086b0f67ef

4434202421231 has 128 divisors (see below), whose sum is σ = 5429244506112. Its totient is φ = 3576029184000.

The previous prime is 4434202421203. The next prime is 4434202421261. The reversal of 4434202421231 is 1321242024344.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4434202421231 - 242 = 36155910127 is a prime.

It is a super-2 number, since 2×44342024212312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434202421261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4867400666 + ... + 4867401576.

It is an arithmetic number, because the mean of its divisors is an integer number (42415972704).

Almost surely, 24434202421231 is an apocalyptic number.

4434202421231 is a deficient number, since it is larger than the sum of its proper divisors (995042084881).

4434202421231 is a wasteful number, since it uses less digits than its factorization.

4434202421231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233.

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

Adding to 4434202421231 its reverse (1321242024344), we get a palindrome (5755444445575).

The spelling of 4434202421231 in words is "four trillion, four hundred thirty-four billion, two hundred two million, four hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 11 17 53 61 83 97 187 583 671 901 911 913 1037 1067 1411 1649 3233 4399 5063 5141 5917 8051 9911 10021 11407 15487 15521 18139 35563 48283 48389 54961 55571 55693 56551 65087 74783 75613 86071 87397 88367 88561 100589 136867 170357 268339 313601 426703 491111 531113 604571 611281 820811 822613 831743 944707 946781 961367 972037 1106479 1285421 1502239 1505537 2945263 2951729 3449611 4007489 4561763 4612393 4683451 4693733 5331217 5390387 5402221 7253951 7334461 8348887 9028921 10391777 14139631 16524629 26028883 32397893 44082379 50069471 50179393 50736323 51517961 58643387 59294257 68127313 78410681 79618667 79793461 80679071 91636579 91837757 124685837 244456829 285690511 286317713 388726433 442491011 447402121 550764181 749400443 862517491 875805337 1008002369 1371544207 2689025119 3142595621 4155766093 4275990763 4856738687 4867401121 4921423331 6608349361 7605836057 23712312413 45713427023 53424125557 72691842971 83664196627 260835436543 403109311021 4434202421231