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40372142040 = 2333572751419
BaseRepresentation
bin100101100110010111…
…011111111111011000
310212012121022022102000
4211212113133333120
51130140232021130
630314031041000
72626313355006
oct454627377730
9125177268360
1040372142040
111613802694a
1279a8670160
133a651bbb59
141d4db9da76
1510b44e6260
hex9665dffd8

40372142040 has 128 divisors (see below), whose sum is σ = 134761536000. Its totient is φ = 10750886784.

The previous prime is 40372142033. The next prime is 40372142089. The reversal of 40372142040 is 4024127304.

40372142040 is a `hidden beast` number, since 403 + 7 + 214 + 2 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40372141995 and 40372142013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759451 + ... + 810869.

It is an arithmetic number, because the mean of its divisors is an integer number (1052824500).

Almost surely, 240372142040 is an apocalyptic number.

40372142040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40372142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67380768000).

40372142040 is an abundant number, since it is smaller than the sum of its proper divisors (94389393960).

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

40372142040 is a wasteful number, since it uses less digits than its factorization.

40372142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52166 (or 52156 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 40372142040 its reverse (4024127304), we get a palindrome (44396269344).

The spelling of 40372142040 in words is "forty billion, three hundred seventy-two million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 727 1080 1454 2181 2908 3635 4362 5816 6543 7270 8724 10905 13086 14540 17448 19629 21810 26172 29080 32715 39258 43620 51419 52344 65430 78516 87240 98145 102838 130860 154257 157032 196290 205676 257095 261720 308514 392580 411352 462771 514190 617028 771285 785160 925542 1028380 1234056 1388313 1542570 1851084 2056760 2313855 2776626 3085140 3702168 4627710 5553252 6170280 6941565 9255420 11106504 13883130 18510840 27766260 37381613 55532520 74763226 112144839 149526452 186908065 224289678 299052904 336434517 373816130 448579356 560724195 672869034 747632260 897158712 1009303551 1121448390 1345738068 1495264520 1682172585 2018607102 2242896780 2691476136 3364345170 4037214204 4485793560 5046517755 6728690340 8074428408 10093035510 13457380680 20186071020 40372142040