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40314103440 = 243513109118543
BaseRepresentation
bin100101100010111010…
…000110011010010000
310212001120002122102020
4211202322012122100
51130030402302230
630304155051440
72625010140162
oct454272063220
9125046078366
1040314103440
1116108295666
127991140b80
133a5617a8a0
141d461b2932
1510ae37e810
hex962e86690

40314103440 has 160 divisors (see below), whose sum is σ = 135822973440. Its totient is φ = 9832347648.

The previous prime is 40314103421. The next prime is 40314103441. The reversal of 40314103440 is 4430141304.

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 40314103440.

It is not an unprimeable number, because it can be changed into a prime (40314103441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280809 + ... + 399351.

It is an arithmetic number, because the mean of its divisors is an integer number (848893584).

Almost surely, 240314103440 is an apocalyptic number.

40314103440 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 40314103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67911486720).

40314103440 is an abundant number, since it is smaller than the sum of its proper divisors (95508870000).

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

40314103440 is a wasteful number, since it uses less digits than its factorization.

40314103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118681 (or 118675 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40314103440 its reverse (4430141304), we get a palindrome (44744244744).

The spelling of 40314103440 in words is "forty billion, three hundred fourteen million, one hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 109 120 130 156 195 208 218 240 260 312 327 390 436 520 545 624 654 780 872 1040 1090 1308 1417 1560 1635 1744 2180 2616 2834 3120 3270 4251 4360 5232 5668 6540 7085 8502 8720 11336 13080 14170 17004 21255 22672 26160 28340 34008 42510 56680 68016 85020 113360 118543 170040 237086 340080 355629 474172 592715 711258 948344 1185430 1422516 1541059 1778145 1896688 2370860 2845032 3082118 3556290 4623177 4741720 5690064 6164236 7112580 7705295 9246354 9483440 12328472 12921187 14225160 15410590 18492708 23115885 24656944 25842374 28450320 30821180 36985416 38763561 46231770 51684748 61642360 64605935 73970832 77527122 92463540 103369496 123284720 129211870 155054244 167975431 184927080 193817805 206738992 258423740 310108488 335950862 369854160 387635610 503926293 516847480 620216976 671901724 775271220 839877155 1007852586 1033694960 1343803448 1550542440 1679754310 2015705172 2519631465 2687606896 3101084880 3359508620 4031410344 5039262930 6719017240 8062820688 10078525860 13438034480 20157051720 40314103440