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4433034114040 = 2357214811527179
BaseRepresentation
bin100000010000010010101…
…1011000111001111111000
3120200210102202202221022011
41000200211123013033320
51040112323213122130
613232301401535304
7635163501150400
oct100404533071770
916623382687264
104433034114040
11145a048208864
125b719a1a4534
13262058298acc
141147ba8b3800
157a4a7a5e52a
hex408256c73f8

4433034114040 has 96 divisors (see below), whose sum is σ = 11610630298800. Its totient is φ = 1518870151680.

The previous prime is 4433034114011. The next prime is 4433034114053. The reversal of 4433034114040 is 404114303344.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4433034113993 and 4433034114011.

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 23 ways as a sum of consecutive naturals, for example, 2139171 + ... + 3666349.

Almost surely, 24433034114040 is an apocalyptic number.

4433034114040 is a gapful number since it is divisible by the number (40) 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 4433034114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805315149400).

4433034114040 is an abundant number, since it is smaller than the sum of its proper divisors (7177596184760).

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

4433034114040 is a wasteful number, since it uses less digits than its factorization.

4433034114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528685 (or 1528674 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 4433034114040 its reverse (404114303344), we get a palindrome (4837148417384).

The spelling of 4433034114040 in words is "four trillion, four hundred thirty-three billion, thirty-four million, one hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1481 1960 2962 5924 7405 10367 11848 14810 20734 29620 41468 51835 59240 72569 82936 103670 145138 207340 290276 362845 414680 580552 725690 1451380 1527179 2902760 3054358 6108716 7635895 10690253 12217432 15271790 21380506 30543580 42761012 53451265 61087160 74831771 85522024 106902530 149663542 213805060 299327084 374158855 427610120 598654168 748317710 1496635420 2261752099 2993270840 4523504198 9047008396 11308760495 15832264693 18094016792 22617520990 31664529386 45235041980 63329058772 79161323465 90470083960 110825852851 126658117544 158322646930 221651705702 316645293860 443303411404 554129264255 633290587720 886606822808 1108258528510 2216517057020 4433034114040