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40575140540 = 225112371513001
BaseRepresentation
bin100101110010011101…
…111000001010111100
310212201202021200222222
4211302131320022330
51131044213444130
630350122024512
72634330001244
oct456235701274
9125652250888
1040575140540
1116231677700
127a44648138
133a98285bcc
141d6cb22b24
1510c7243ce5
hex9727782bc

40575140540 has 144 divisors (see below), whose sum is σ = 96858737472. Its totient is φ = 14256000000.

The previous prime is 40575140521. The next prime is 40575140587. The reversal of 40575140540 is 4504157504.

It is a self number, because there is not a number n which added to its sum of digits gives 40575140540.

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, 13519040 + ... + 13522040.

Almost surely, 240575140540 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 40575140540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48429368736).

40575140540 is an abundant number, since it is smaller than the sum of its proper divisors (56283596932).

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

40575140540 is a wasteful number, since it uses less digits than its factorization.

40575140540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 35.

The spelling of 40575140540 in words is "forty billion, five hundred seventy-five million, one hundred forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 151 185 220 242 302 370 407 484 604 605 740 755 814 1210 1510 1628 1661 2035 2420 3001 3020 3322 4070 4477 5587 6002 6644 8140 8305 8954 11174 12004 15005 16610 17908 18271 22348 22385 27935 30010 33011 33220 36542 44770 55870 60020 61457 66022 73084 89540 91355 111037 111740 122914 132044 165055 182710 222074 245828 307285 330110 363121 365420 444148 453151 555185 614570 660220 676027 726242 906302 1110370 1221407 1229140 1352054 1452484 1812604 1815605 2220740 2265755 2442814 2704108 3380135 3631210 4531510 4885628 4984661 6107035 6760270 7262420 9063020 9969322 12214070 13435477 13520540 16766587 19938644 24428140 24923305 26870954 33533174 49846610 53741908 54831271 67066348 67177385 83832935 99693220 109662542 134354770 167665870 184432457 219325084 268709540 274156355 335331740 368864914 548312710 737729828 922162285 1096625420 1844324570 2028757027 3688649140 4057514054 8115028108 10143785135 20287570270 40575140540