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40643135100 = 223652557519
BaseRepresentation
bin100101110110100001…
…010000011001111100
310212220111020012000000
4211312201100121330
51131214120310400
630400551234300
72636113643151
oct456641203174
9125814205000
1040643135100
1116266a98a57
127a63378990
133aa93a1989
141d77b82228
1510cd1c5600
hex97685067c

40643135100 has 126 divisors (see below), whose sum is σ = 132233151120. Its totient is φ = 10838149920.

The previous prime is 40643135089. The next prime is 40643135147. The reversal of 40643135100 is 153134604.

40643135100 is a `hidden beast` number, since 4 + 0 + 643 + 1 + 3 + 5 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 205860 + ... + 351659.

Almost surely, 240643135100 is an apocalyptic number.

It is an amenable number.

40643135100 is an abundant number, since it is smaller than the sum of its proper divisors (91590016020).

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

40643135100 is a wasteful number, since it uses less digits than its factorization.

40643135100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557551 (or 557529 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 40643135100 its reverse (153134604), we get a palindrome (40796269704).

The spelling of 40643135100 in words is "forty billion, six hundred forty-three million, one hundred thirty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1215 1350 1458 1620 2025 2430 2700 2916 3645 4050 4860 6075 7290 8100 12150 14580 18225 24300 36450 72900 557519 1115038 1672557 2230076 2787595 3345114 5017671 5575190 6690228 8362785 10035342 11150380 13937975 15053013 16725570 20070684 25088355 27875950 30106026 33451140 41813925 45159039 50176710 55751900 60212052 75265065 83627850 90318078 100353420 125441775 135477117 150530130 167255700 180636156 225795195 250883550 270954234 301060260 376325325 406431351 451590390 501767100 541908468 677385585 752650650 812862702 903180780 1128975975 1354771170 1505301300 1625725404 2032156755 2257951950 2709542340 3386927925 4064313510 4515903900 6773855850 8128627020 10160783775 13547711700 20321567550 40643135100