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42012065040 = 243511101157561
BaseRepresentation
bin100111001000000111…
…010011110100010000
311000102220010000211220
4213020013103310100
51142020042040130
631144452205040
73015045442431
oct471007236420
9130386100756
1042012065040
11168a9796310
128185909780
133c66b923aa
1420678c7488
15115d47e410
hex9c81d3d10

42012065040 has 160 divisors (see below), whose sum is σ = 143484780672. Its totient is φ = 10083840000.

The previous prime is 42012065021. The next prime is 42012065087. The reversal of 42012065040 is 4056021024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42012065040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187860 + ... + 345420.

Almost surely, 242012065040 is an apocalyptic number.

42012065040 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 42012065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71742390336).

42012065040 is an abundant number, since it is smaller than the sum of its proper divisors (101472715632).

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

42012065040 is a wasteful number, since it uses less digits than its factorization.

42012065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157689 (or 157683 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 42012065040 its reverse (4056021024), we get a palindrome (46068086064).

The spelling of 42012065040 in words is "forty-two billion, twelve million, sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1616 2020 2222 2424 2640 3030 3333 4040 4444 4848 5555 6060 6666 8080 8888 11110 12120 13332 16665 17776 22220 24240 26664 33330 44440 53328 66660 88880 133320 157561 266640 315122 472683 630244 787805 945366 1260488 1575610 1733171 1890732 2363415 2520976 3151220 3466342 3781464 4726830 5199513 6302440 6932684 7562928 8665855 9453660 10399026 12604880 13865368 15913661 17331710 18907320 20798052 25997565 27730736 31827322 34663420 37814640 41596104 47740983 51995130 63654644 69326840 79568305 83192208 95481966 103990260 127309288 138653680 159136610 175050271 190963932 207980520 238704915 254618576 318273220 350100542 381927864 415961040 477409830 525150813 636546440 700201084 763855728 875251355 954819660 1050301626 1273092880 1400402168 1750502710 1909639320 2100603252 2625754065 2800804336 3501005420 3819278640 4201206504 5251508130 7002010840 8402413008 10503016260 14004021680 21006032520 42012065040