Search a number
-
+
40008870348700 = 225211157434953269
BaseRepresentation
bin10010001100011010010101…
…00000010100011110011100
312020122210212222001102011211
421012031022200110132130
520221001131302124300
6221031453222354204
711266355050545451
oct1106151240243634
9166583788042154
1040008870348700
1111825737312370
1245a1ba188b964
131942a88221bc6
149c46225c1828
15495ac88384ba
hex24634a81479c

40008870348700 has 144 divisors (see below), whose sum is σ = 95338874484000. Its totient is φ = 14452418073600.

The previous prime is 40008870348589. The next prime is 40008870348763. The reversal of 40008870348700 is 784307880004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751045666 + ... + 751098934.

It is an arithmetic number, because the mean of its divisors is an integer number (662075517250).

Almost surely, 240008870348700 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 40008870348700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47669437242000).

40008870348700 is an abundant number, since it is smaller than the sum of its proper divisors (55330004135300).

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

40008870348700 is a wasteful number, since it uses less digits than its factorization.

40008870348700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57800 (or 57793 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 49.

The spelling of 40008870348700 in words is "forty trillion, eight billion, eight hundred seventy million, three hundred forty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 157 220 275 314 550 628 785 1100 1570 1727 3140 3454 3925 4349 6908 7850 8635 8698 15700 17270 17396 21745 34540 43175 43490 47839 53269 86350 86980 95678 106538 108725 172700 191356 213076 217450 239195 266345 434900 478390 532690 585959 682793 956780 1065380 1171918 1195975 1331725 1365586 2343836 2391950 2663450 2731172 2929795 3413965 4783900 5326900 5859590 6827930 7510723 8363233 11719180 13655860 14648975 15021446 16726466 17069825 29297950 30042892 33452932 34139650 37553615 41816165 58595900 68279300 75107230 83632330 91995563 150214460 167264660 183991126 187768075 209080825 231666881 367982252 375536150 418161650 459977815 463333762 751072300 836323300 919955630 926667524 1158334405 1839911260 2299889075 2316668810 2548335691 4599778150 4633337620 5096671382 5791672025 9199556300 10193342764 11583344050 12741678455 23166688100 25483356910 36371700317 50966713820 63708392275 72743400634 127416784550 145486801268 181858501585 254833569100 363717003170 400088703487 727434006340 800177406974 909292507925 1600354813948 1818585015850 2000443517435 3637170031700 4000887034870 8001774069740 10002217587175 20004435174350 40008870348700