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40242609888 = 25313212719531
BaseRepresentation
bin100101011110101001…
…010111111011100000
310211212120120101200220
4211132221113323200
51124404102004023
630253122443040
72623151353155
oct453651277340
9124776511626
1040242609888
11160809a4488
127971203480
133a44408300
141d3a8c222c
1510a7e5b3e3
hex95ea57ee0

40242609888 has 144 divisors (see below), whose sum is σ = 115294427136. Its totient is φ = 12284213760.

The previous prime is 40242609871. The next prime is 40242609889. The reversal of 40242609888 is 88890624204.

It is a self number, because there is not a number n which added to its sum of digits gives 40242609888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40242609889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050683 + ... + 2070213.

It is an arithmetic number, because the mean of its divisors is an integer number (800655744).

Almost surely, 240242609888 is an apocalyptic number.

40242609888 is a gapful number since it is divisible by the number (48) 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 40242609888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57647213568).

40242609888 is an abundant number, since it is smaller than the sum of its proper divisors (75051817248).

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

40242609888 is a wasteful number, since it uses less digits than its factorization.

40242609888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19697 (or 19676 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 40242609888 in words is "forty billion, two hundred forty-two million, six hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 156 169 208 254 312 338 381 416 507 508 624 676 762 1014 1016 1248 1352 1524 1651 2028 2032 2704 3048 3302 4056 4064 4953 5408 6096 6604 8112 9906 12192 13208 16224 19531 19812 21463 26416 39062 39624 42926 52832 58593 64389 78124 79248 85852 117186 128778 156248 158496 171704 234372 253903 257556 312496 343408 468744 507806 515112 624992 686816 761709 937488 1015612 1030224 1523418 1874976 2031224 2060448 2480437 3046836 3300739 4062448 4960874 6093672 6601478 7441311 8124896 9902217 9921748 12187344 13202956 14882622 19804434 19843496 24374688 26405912 29765244 32245681 39608868 39686992 52811824 59530488 64491362 79217736 79373984 96737043 105623648 119060976 128982724 158435472 193474086 238121952 257965448 316870944 386948172 419193853 515930896 773896344 838387706 1031861792 1257581559 1547792688 1676775412 2515163118 3095585376 3353550824 5030326236 6707101648 10060652472 13414203296 20121304944 40242609888