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40031423200 = 25521710392833
BaseRepresentation
bin100101010010000011…
…110000101011100000
310211022212012000000201
4211102003300223200
51123441021020300
630220140154544
72615005324426
oct452203605340
9124285160021
1040031423200
1115a8277082a
127912538a54
133a0c735282
141d1a82b116
15109464266a
hex9520f0ae0

40031423200 has 144 divisors (see below), whose sum is σ = 103611493440. Its totient is φ = 15050833920.

The previous prime is 40031423197. The next prime is 40031423219. The reversal of 40031423200 is 232413004.

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, 14128984 + ... + 14131816.

It is an arithmetic number, because the mean of its divisors is an integer number (719524260).

Almost surely, 240031423200 is an apocalyptic number.

40031423200 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 40031423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51805746720).

40031423200 is an abundant number, since it is smaller than the sum of its proper divisors (63580070240).

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

40031423200 is a wasteful number, since it uses less digits than its factorization.

40031423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 40031423200 its reverse (232413004), we get a palindrome (40263836204).

The spelling of 40031423200 in words is "forty billion, thirty-one million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1039 1360 1700 2078 2720 2833 3400 4156 5195 5666 6800 8312 10390 11332 13600 14165 16624 17663 20780 22664 25975 28330 33248 35326 41560 45328 48161 51950 56660 70652 70825 83120 88315 90656 96322 103900 113320 141304 141650 166240 176630 192644 207800 226640 240805 282608 283300 353260 385288 415600 441575 453280 481610 565216 566600 706520 770576 831200 883150 963220 1133200 1204025 1413040 1541152 1766300 1926440 2266400 2408050 2826080 2943487 3532600 3852880 4816100 5886974 7065200 7705760 9632200 11773948 14130400 14717435 19264400 23547896 29434870 38528800 47095792 50039279 58869740 73587175 94191584 100078558 117739480 147174350 200157116 235478960 250196395 294348700 400314232 470957920 500392790 588697400 800628464 1000785580 1177394800 1250981975 1601256928 2001571160 2354789600 2501963950 4003142320 5003927900 8006284640 10007855800 20015711600 40031423200