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40204200320 = 275172217367
BaseRepresentation
bin100101011100010110…
…110110100110000000
310211202220021222200022
4211130112312212000
51124314233402240
630245231313012
72622204031004
oct453426664600
9124686258608
1040204200320
111606124a839
12796037b768
133a3947a65b
141d35764704
1510a48c09b5
hex95c5b6980

40204200320 has 96 divisors (see below), whose sum is σ = 102099923280. Its totient is φ = 15135629312.

The previous prime is 40204200293. The next prime is 40204200331. The reversal of 40204200320 is 2300240204.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76277 + ... + 293643.

Almost surely, 240204200320 is an apocalyptic number.

40204200320 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 40204200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51049961640).

40204200320 is an abundant number, since it is smaller than the sum of its proper divisors (61895722960).

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

40204200320 is a wasteful number, since it uses less digits than its factorization.

40204200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217420 (or 217391 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 40204200320 its reverse (2300240204), we get a palindrome (42504440524).

The spelling of 40204200320 in words is "forty billion, two hundred four million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 289 320 340 544 578 640 680 1088 1156 1360 1445 2176 2312 2720 2890 4624 5440 5780 9248 10880 11560 18496 23120 36992 46240 92480 184960 217367 434734 869468 1086835 1738936 2173670 3477872 3695239 4347340 6955744 7390478 8694680 13911488 14780956 17389360 18476195 27822976 29561912 34778720 36952390 59123824 62819063 69557440 73904780 118247648 125638126 139114880 147809560 236495296 251276252 295619120 314095315 472990592 502552504 591238240 628190630 1005105008 1182476480 1256381260 2010210016 2364952960 2512762520 4020420032 5025525040 8040840064 10051050080 20102100160 40204200320