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40443444004140 = 223253148523149371
BaseRepresentation
bin10010011001000011110010…
…00111010000010100101100
312022012100121011001110022200
421030201321013100110230
520300111133131113030
6222003243420141500
711342641146635652
oct1114417107202454
9168170534043280
1040443444004140
1111982a71866821
124652263697890
131974a5364a418
149db68a3ccdd2
154a2060647d60
hex24c8791d052c

40443444004140 has 144 divisors (see below), whose sum is σ = 126639273686016. Its totient is φ = 10436732841600.

The previous prime is 40443444004129. The next prime is 40443444004241. The reversal of 40443444004140 is 4140044434404.

40443444004140 is a `hidden beast` number, since 4 + 0 + 44 + 34 + 440 + 0 + 4 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40443444004095 and 40443444004104.

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, 270683655 + ... + 270833025.

Almost surely, 240443444004140 is an apocalyptic number.

It is an amenable number.

40443444004140 is an abundant number, since it is smaller than the sum of its proper divisors (86195829681876).

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

40443444004140 is a wasteful number, since it uses less digits than its factorization.

40443444004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197940 (or 197935 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 40443444004140 its reverse (4140044434404), we get a palindrome (44583488438544).

The spelling of 40443444004140 in words is "forty trillion, four hundred forty-three billion, four hundred forty-four million, four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 48523 97046 145569 149371 194092 242615 291138 298742 436707 448113 485230 582276 597484 727845 746855 873414 896226 970460 1344339 1455690 1493710 1504213 1746828 1792452 2183535 2240565 2688678 2911380 2987420 3008426 4367070 4481130 4512639 4630501 5377356 6016852 6721695 7521065 8734140 8962260 9025278 9261002 13443390 13537917 13891503 15042130 18050556 18522004 22563195 23152505 26886780 27075834 27783006 30084260 41674509 45126390 46305010 54151668 55566012 67689585 69457515 83349018 90252780 92610020 135379170 138915030 166698036 208372545 270758340 277830060 416745090 833490180 7247929033 14495858066 21743787099 28991716132 36239645165 43487574198 65231361297 72479290330 86975148396 108718935495 130462722594 144958580660 217437870990 224685800023 260925445188 326156806485 434875741980 449371600046 652313612970 674057400069 898743200092 1123429000115 1304627225940 1348114800138 2022172200207 2246858000230 2696229600276 3370287000345 4044344400414 4493716000460 6740574000690 8088688800828 10110861001035 13481148001380 20221722002070 40443444004140