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240703772420 = 225314744918397
BaseRepresentation
bin1110000000101100010…
…0000001011100000100
3212000022001121120021002
43200023010001130010
512420430131204140
6302324445112432
723250602210306
oct3401304013404
9760261546232
10240703772420
119309a005941
123a797258718
1319910131c07
14b915d29976
1563dbb26415
hex380b101704

240703772420 has 96 divisors (see below), whose sum is σ = 534101299200. Its totient is φ = 90985144320.

The previous prime is 240703772417. The next prime is 240703772443. The reversal of 240703772420 is 24277307042.

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, 13074662 + ... + 13093058.

It is an arithmetic number, because the mean of its divisors is an integer number (5563555200).

Almost surely, 2240703772420 is an apocalyptic number.

240703772420 is a gapful number since it is divisible by the number (20) 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 240703772420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267050649600).

240703772420 is an abundant number, since it is smaller than the sum of its proper divisors (293397526780).

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

240703772420 is a wasteful number, since it uses less digits than its factorization.

240703772420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18933 (or 18931 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 38.

The spelling of 240703772420 in words is "two hundred forty billion, seven hundred three million, seven hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 449 470 620 898 940 1457 1796 2245 2914 4490 5828 7285 8980 13919 14570 18397 21103 27838 29140 36794 42206 55676 69595 73588 84412 91985 105515 139190 183970 211030 278380 367940 422060 570307 654193 864659 1140614 1308386 1729318 2281228 2616772 2851535 3270965 3458636 4323295 5703070 6541930 8260253 8646590 11406140 13083860 16520506 17293180 26804429 33041012 41301265 53608858 82602530 107217716 134022145 165205060 256067843 268044290 388231891 512135686 536088580 776463782 1024271372 1280339215 1552927564 1941159455 2560678430 3882318910 5121356860 7764637820 12035188621 24070377242 48140754484 60175943105 120351886210 240703772420