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40041305010 = 23257233127431
BaseRepresentation
bin100101010010101001…
…011101001110110010
310211100112210001022200
4211102221131032302
51124001033230020
630221132044030
72615155322400
oct452251351662
9124315701280
1040041305010
1115a88300113
127915903616
133a117b50b5
141d1bc80470
151095445590
hex952a5d3b2

40041305010 has 144 divisors (see below), whose sum is σ = 121474821312. Its totient is φ = 9124315200.

The previous prime is 40041305009. The next prime is 40041305039. The reversal of 40041305010 is 1050314004.

It is a happy number.

40041305010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400413050102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1445995 + ... + 1473425.

It is an arithmetic number, because the mean of its divisors is an integer number (843575148).

Almost surely, 240041305010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40041305010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60737410656).

40041305010 is an abundant number, since it is smaller than the sum of its proper divisors (81433516302).

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

40041305010 is a wasteful number, since it uses less digits than its factorization.

40041305010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27789 (or 27779 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 40041305010 its reverse (1050314004), we get a palindrome (41091619014).

The spelling of 40041305010 in words is "forty billion, forty-one million, three hundred five thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 331 441 490 630 662 735 882 993 1470 1655 1986 2205 2317 2979 3310 4410 4634 4965 5958 6951 9930 11585 13902 14895 16219 20853 23170 27431 29790 32438 34755 41706 48657 54862 69510 81095 82293 97314 104265 137155 145971 162190 164586 192017 208530 243285 246879 274310 291942 384034 411465 486570 493758 576051 729855 822930 960085 1152102 1234395 1344119 1459710 1728153 1920170 2468790 2688238 2880255 3456306 4032357 5760510 6720595 8064714 8640765 9079661 12097071 13441190 17281530 18159322 20161785 24194142 27238983 40323570 45398305 54477966 60485355 63557627 81716949 90796610 120970710 127115254 136194915 163433898 190672881 272389830 317788135 381345762 408584745 444903389 572018643 635576270 817169490 889806778 953364405 1144037286 1334710167 1906728810 2224516945 2669420334 2860093215 4004130501 4449033890 5720186430 6673550835 8008261002 13347101670 20020652505 40041305010