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40244525200 = 24521139723039
BaseRepresentation
bin100101011110110000…
…101011100010010000
310211212201011201000101
4211132300223202100
51124410044301300
630253231502144
72623203551155
oct453660534220
9124781151011
1040244525200
1116081a92490
127971987954
133a44929029
141d3ac6022c
1510a81d8b6a
hex95ec2b890

40244525200 has 120 divisors (see below), whose sum is σ = 105747517440. Its totient is φ = 14596876800.

The previous prime is 40244525179. The next prime is 40244525257. The reversal of 40244525200 is 252544204.

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, 1735281 + ... + 1758319.

It is an arithmetic number, because the mean of its divisors is an integer number (881229312).

Almost surely, 240244525200 is an apocalyptic number.

40244525200 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 40244525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52873758720).

40244525200 is an abundant number, since it is smaller than the sum of its proper divisors (65502992240).

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

40244525200 is a wasteful number, since it uses less digits than its factorization.

40244525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23465 (or 23454 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The spelling of 40244525200 in words is "forty billion, two hundred forty-four million, five hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 397 400 440 550 794 880 1100 1588 1985 2200 3176 3970 4367 4400 6352 7940 8734 9925 15880 17468 19850 21835 23039 31760 34936 39700 43670 46078 69872 79400 87340 92156 109175 115195 158800 174680 184312 218350 230390 253429 349360 368624 436700 460780 506858 575975 873400 921560 1013716 1151950 1267145 1746800 1843120 2027432 2303900 2534290 4054864 4607800 5068580 6335725 9146483 9215600 10137160 12671450 18292966 20274320 25342900 36585932 45732415 50685800 73171864 91464830 100611313 101371600 146343728 182929660 201222626 228662075 365859320 402445252 457324150 503056565 731718640 804890504 914648300 1006113130 1609781008 1829296600 2012226260 2515282825 3658593200 4024452520 5030565650 8048905040 10061131300 20122262600 40244525200