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4331010434424 = 23317531071871843
BaseRepresentation
bin111111000001100100010…
…101101010010101111000
3120100001002120020000111120
4333001210111222111320
51031424402132400144
613113345544225240
7624622322164332
oct77014425522570
916301076200446
104331010434424
11141a853532273
1259b46676b220
13255549440b0b
1410d89cb92452
15779d5d35e19
hex3f06456a578

4331010434424 has 128 divisors (see below), whose sum is σ = 11789921744640. Its totient is φ = 1320651917312.

The previous prime is 4331010434369. The next prime is 4331010434459. The reversal of 4331010434424 is 4244340101334.

4331010434424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1377847 + ... + 3249689.

It is an arithmetic number, because the mean of its divisors is an integer number (92108763630).

Almost surely, 24331010434424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4331010434424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894960872320).

4331010434424 is an abundant number, since it is smaller than the sum of its proper divisors (7458911310216).

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

4331010434424 is a wasteful number, since it uses less digits than its factorization.

4331010434424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872029 (or 1872025 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4331010434424 its reverse (4244340101334), we get a palindrome (8575350535758).

The spelling of 4331010434424 in words is "four trillion, three hundred thirty-one billion, ten million, four hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 107 136 159 204 212 214 318 321 408 424 428 636 642 856 901 1272 1284 1802 1819 2568 2703 3604 3638 5406 5457 5671 7208 7276 10812 10914 11342 14552 17013 21624 21828 22684 34026 43656 45368 68052 96407 136104 192814 289221 385628 578442 771256 1156884 1871843 2313768 3743686 5615529 7487372 11231058 14974744 22462116 31821331 44924232 63642662 95463993 99207679 127285324 190927986 198415358 200287201 254570648 297623037 381855972 396830716 400574402 595246074 600861603 763711944 793661432 801148804 1190492148 1201723206 1602297608 1686530543 2380984296 2403446412 3373061086 3404882417 4806892824 5059591629 6746122172 6809764834 10119183258 10214647251 10615221653 13492244344 13619529668 20238366516 20429294502 21230443306 27239059336 31845664959 40476733032 40858589004 42460886612 63691329918 81717178008 84921773224 127382659836 180458768101 254765319672 360917536202 541376304303 721835072404 1082752608606 1443670144808 2165505217212 4331010434424