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40511754140 = 225111327751137
BaseRepresentation
bin100101101110101100…
…000100111110011100
310212120100000100012112
4211232230010332130
51130432002113030
630335535253152
72632630141244
oct455654047634
9125510010175
1040511754140
11161a9913550
127a2737a1b8
133a880c1770
141d64542b24
1510c18c2a95
hex96eb04f9c

40511754140 has 96 divisors (see below), whose sum is σ = 100310664384. Its totient is φ = 13548994560.

The previous prime is 40511754139. The next prime is 40511754169. The reversal of 40511754140 is 4145711504.

It is a junction number, because it is equal to n+sod(n) for n = 40511754097 and 40511754106.

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 31 ways as a sum of consecutive naturals, for example, 766652 + ... + 817788.

It is an arithmetic number, because the mean of its divisors is an integer number (1044902754).

Almost surely, 240511754140 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 40511754140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50155332192).

40511754140 is an abundant number, since it is smaller than the sum of its proper divisors (59798910244).

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

40511754140 is a wasteful number, since it uses less digits than its factorization.

40511754140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51447 (or 51445 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The spelling of 40511754140 in words is "forty billion, five hundred eleven million, seven hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 277 286 554 572 715 1108 1385 1430 2770 2860 3047 3601 5540 6094 7202 12188 14404 15235 18005 30470 36010 39611 51137 60940 72020 79222 102274 158444 198055 204548 255685 396110 511370 562507 664781 792220 1022740 1125014 1329562 2250028 2659124 2812535 3323905 5625070 6647810 7312591 11250140 13295620 14164949 14625182 28329898 29250364 36562955 56659796 70824745 73125910 141649490 146251820 155814439 184144337 283298980 311628878 368288674 623257756 736577348 779072195 920721685 1558144390 1841443370 2025587707 3116288780 3682886740 4051175414 8102350828 10127938535 20255877070 40511754140