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40580240000 = 27543116363
BaseRepresentation
bin100101110010110001…
…010101001010000000
310212202002212210010212
4211302301111022000
51131102020140000
630350423213252
72634421230416
oct456261251200
9125662783125
1040580240000
111623453aa33
127a462a7228
133a99350041
141d6d68d2b6
1510c78eec35
hex972c55280

40580240000 has 160 divisors (see below), whose sum is σ = 104287117440. Its totient is φ = 15707520000.

The previous prime is 40580239981. The next prime is 40580240053. The reversal of 40580240000 is 4208504.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2471819 + ... + 2488181.

It is an arithmetic number, because the mean of its divisors is an integer number (651794484).

Almost surely, 240580240000 is an apocalyptic number.

40580240000 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 40580240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52143558720).

40580240000 is an abundant number, since it is smaller than the sum of its proper divisors (63706877440).

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

40580240000 is an equidigital number, since it uses as much as digits as its factorization.

40580240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16428 (or 16401 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 40580240000 its reverse (4208504), we get a palindrome (40584448504).

The spelling of 40580240000 in words is "forty billion, five hundred eighty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 310 320 400 496 500 620 625 640 775 800 992 1000 1240 1250 1550 1600 1984 2000 2480 2500 3100 3200 3875 3968 4000 4960 5000 6200 7750 8000 9920 10000 12400 15500 16000 16363 19375 19840 20000 24800 31000 32726 38750 40000 49600 62000 65452 77500 80000 81815 99200 124000 130904 155000 163630 248000 261808 310000 327260 409075 496000 507253 523616 620000 654520 818150 1014506 1047232 1240000 1309040 1636300 2029012 2045375 2094464 2480000 2536265 2618080 3272600 4058024 4090750 5072530 5236160 6545200 8116048 8181500 10145060 10226875 10472320 12681325 13090400 16232096 16363000 20290120 20453750 25362650 26180800 32464192 32726000 40580240 40907500 50725300 52361600 63406625 64928384 65452000 81160480 81815000 101450600 126813250 130904000 162320960 163630000 202901200 253626500 261808000 317033125 324641920 327260000 405802400 507253000 634066250 654520000 811604800 1014506000 1268132500 1309040000 1623209600 2029012000 2536265000 4058024000 5072530000 8116048000 10145060000 20290120000 40580240000