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40220001300 = 22352809165719
BaseRepresentation
bin100101011101010011…
…001000010000010100
310211211000000202112210
4211131103020100110
51124332310020200
630250554113420
72622455241003
oct453523102024
9124730022483
1040220001300
111606a1622a6
12796571b870
133a3c82074b
141d378b8c3a
1510a5e92650
hex95d4c8414

40220001300 has 72 divisors (see below), whose sum is σ = 116514417600. Its totient is φ = 10712011520.

The previous prime is 40220001251. The next prime is 40220001329. The reversal of 40220001300 is 310002204.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159841 + ... + 325559.

It is an arithmetic number, because the mean of its divisors is an integer number (1618255800).

Almost surely, 240220001300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40220001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58257208800).

40220001300 is an abundant number, since it is smaller than the sum of its proper divisors (76294416300).

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

40220001300 is a wasteful number, since it uses less digits than its factorization.

40220001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166545 (or 166538 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 40220001300 its reverse (310002204), we get a palindrome (40530003504).

The spelling of 40220001300 in words is "forty billion, two hundred twenty million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 809 1618 2427 3236 4045 4854 8090 9708 12135 16180 20225 24270 40450 48540 60675 80900 121350 165719 242700 331438 497157 662876 828595 994314 1657190 1988628 2485785 3314380 4142975 4971570 8285950 9943140 12428925 16571900 24857850 49715700 134066671 268133342 402200013 536266684 670333355 804400026 1340666710 1608800052 2011000065 2681333420 3351666775 4022000130 6703333550 8044000260 10055000325 13406667100 20110000650 40220001300