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4120243040 = 255374791453
BaseRepresentation
bin1111010110010101…
…1110101101100000
3101122010222000220002
43311211132231200
531414240234130
61520503035132
7204050326244
oct36545365540
911563860802
104120243040
111824851641
1296ba3baa8
13508802144
142b12d4424
15191ac7b45
hexf595eb60

4120243040 has 96 divisors (see below), whose sum is σ = 10024922880. Its totient is φ = 1599105024.

The previous prime is 4120243031. The next prime is 4120243067. The reversal of 4120243040 is 403420214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2834954 + ... + 2836406.

It is an arithmetic number, because the mean of its divisors is an integer number (104426280).

Almost surely, 24120243040 is an apocalyptic number.

4120243040 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 4120243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012461440).

4120243040 is an abundant number, since it is smaller than the sum of its proper divisors (5904679840).

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

4120243040 is a wasteful number, since it uses less digits than its factorization.

4120243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4120243040 is about 64189.1193271882. The cubic root of 4120243040 is about 1603.1504384728.

Adding to 4120243040 its reverse (403420214), we get a palindrome (4523663254).

The spelling of 4120243040 in words is "four billion, one hundred twenty million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 479 592 740 958 1184 1453 1480 1916 2395 2906 2960 3832 4790 5812 5920 7265 7664 9580 11624 14530 15328 17723 19160 23248 29060 35446 38320 46496 53761 58120 70892 76640 88615 107522 116240 141784 177230 215044 232480 268805 283568 354460 430088 537610 567136 695987 708920 860176 1075220 1391974 1417840 1720352 2150440 2783948 2835680 3479935 4300880 5567896 6959870 8601760 11135792 13919740 22271584 25751519 27839480 51503038 55678960 103006076 111357920 128757595 206012152 257515190 412024304 515030380 824048608 1030060760 2060121520 4120243040