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4120301320240 = 245719992939799
BaseRepresentation
bin111011111101010101000…
…110001011100000110000
3112120220012212211222002111
4323331111012023200300
51020001334114221430
612432501300455104
7603452623234150
oct73752506134060
915526185758074
104120301320240
111349456752086
125666606aa494
1323b7095537b1
141035d06c0760
15722a2630c2a
hex3bf5518b830

4120301320240 has 160 divisors (see below), whose sum is σ = 11015366400000. Its totient is φ = 1404027592704.

The previous prime is 4120301320229. The next prime is 4120301320243. The reversal of 4120301320240 is 420231030214.

4120301320240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4120301320243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103507861 + ... + 103547659.

It is an arithmetic number, because the mean of its divisors is an integer number (68846040000).

Almost surely, 24120301320240 is an apocalyptic number.

4120301320240 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 4120301320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507683200000).

4120301320240 is an abundant number, since it is smaller than the sum of its proper divisors (6895065079760).

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

4120301320240 is a wasteful number, since it uses less digits than its factorization.

4120301320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40947 (or 40941 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 4120301320240 its reverse (420231030214), we get a palindrome (4540532350454).

The spelling of 4120301320240 in words is "four trillion, one hundred twenty billion, three hundred one million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 199 280 398 560 796 929 995 1393 1592 1858 1990 2786 3184 3716 3980 4645 5572 6503 6965 7432 7960 9290 11144 13006 13930 14864 15920 18580 22288 26012 27860 32515 37160 39799 52024 55720 65030 74320 79598 104048 111440 130060 159196 184871 198995 260120 278593 318392 369742 397990 520240 557186 636784 739484 795980 924355 1114372 1294097 1392965 1478968 1591960 1848710 2228744 2588194 2785930 2957936 3183920 3697420 4457488 5176388 5571860 6470485 7394840 7920001 10352776 11143720 12940970 14789680 15840002 20705552 22287440 25881940 31680004 36973271 39600005 51763880 55440007 63360008 73946542 79200010 103527760 110880014 126720016 147893084 158400020 184866355 221760028 258812897 277200035 295786168 316800040 369732710 443520056 517625794 554400070 591572336 633600080 739465420 887040112 1035251588 1108800140 1294064485 1478930840 2070503176 2217600280 2588128970 2957861680 4141006352 4435200560 5176257940 7357680929 10352515880 14715361858 20705031760 29430723716 36788404645 51503766503 58861447432 73576809290 103007533006 117722894864 147153618580 206015066012 257518832515 294307237160 412030132024 515037665030 588614474320 824060264048 1030075330060 2060150660120 4120301320240