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4102244040 = 2335591314423
BaseRepresentation
bin1111010010000011…
…0100011011001000
3101120220002120220110
43310200310123020
531400133302130
61515021154320
7203441333106
oct36440643310
911526076813
104102244040
111815678734
129659bb9a0
13504b6c74b
142acb6ac76
1519021eab0
hexf48346c8

4102244040 has 128 divisors (see below), whose sum is σ = 12613708800. Its totient is φ = 1066940160.

The previous prime is 4102244017. The next prime is 4102244059. The reversal of 4102244040 is 404422014.

It is a junction number, because it is equal to n+sod(n) for n = 4102243998 and 4102244016.

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, 925269 + ... + 929691.

It is an arithmetic number, because the mean of its divisors is an integer number (98544600).

Almost surely, 24102244040 is an apocalyptic number.

4102244040 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 4102244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306854400).

4102244040 is an abundant number, since it is smaller than the sum of its proper divisors (8511464760).

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

4102244040 is a wasteful number, since it uses less digits than its factorization.

4102244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4102244040 is about 64048.7629857127. The cubic root of 4102244040 is about 1600.8126132591.

Adding to 4102244040 its reverse (404422014), we get a palindrome (4506666054).

The spelling of 4102244040 in words is "four billion, one hundred two million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 131 177 236 262 295 354 393 472 524 590 655 708 786 885 1048 1180 1310 1416 1572 1770 1965 2360 2620 3144 3540 3930 4423 5240 7080 7729 7860 8846 13269 15458 15720 17692 22115 23187 26538 30916 35384 38645 44230 46374 53076 61832 66345 77290 88460 92748 106152 115935 132690 154580 176920 185496 231870 260957 265380 309160 463740 521914 530760 579413 782871 927480 1043828 1158826 1304785 1565742 1738239 2087656 2317652 2609570 2897065 3131484 3476478 3914355 4635304 5219140 5794130 6262968 6952956 7828710 8691195 10438280 11588260 13905912 15657420 17382390 23176520 31314840 34185367 34764780 68370734 69529560 102556101 136741468 170926835 205112202 273482936 341853670 410224404 512780505 683707340 820448808 1025561010 1367414680 2051122020 4102244040