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2424402321040 = 245719493746153
BaseRepresentation
bin100011010001111001101…
…000111001111010010000
322120202210202200120101001
4203101321220321322100
5304210133443233130
65053431031351344
7340104643466140
oct43217150717220
98522722616331
102424402321040
118552019a7157
12331a47522554
1314780a64391b
14854ad898920
15430e6d886ca
hex23479a39e90

2424402321040 has 160 divisors (see below), whose sum is σ = 6782555531520. Its totient is φ = 787298476032.

The previous prime is 2424402320981. The next prime is 2424402321053. The reversal of 2424402321040 is 401232044242.

It is a super-2 number, since 2×24244023210402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 52506604 + ... + 52552756.

It is an arithmetic number, because the mean of its divisors is an integer number (42390972072).

Almost surely, 22424402321040 is an apocalyptic number.

2424402321040 is a gapful number since it is divisible by the number (20) 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 2424402321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391277765760).

2424402321040 is an abundant number, since it is smaller than the sum of its proper divisors (4358153210480).

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

2424402321040 is a wasteful number, since it uses less digits than its factorization.

2424402321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51129 (or 51123 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2424402321040 its reverse (401232044242), we get a palindrome (2825634365282).

The spelling of 2424402321040 in words is "two trillion, four hundred twenty-four billion, four hundred two million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 4937 5320 9874 10640 19748 24685 34559 39496 46153 49370 69118 78992 92306 93803 98740 138236 172795 184612 187606 197480 230765 276472 323071 345590 369224 375212 394960 461530 469015 552944 646142 656621 691180 738448 750424 876907 923060 938030 1292284 1313242 1382360 1500848 1615355 1753814 1846120 1876060 2584568 2626484 2764720 3230710 3283105 3507628 3692240 3752120 4384535 5169136 5252968 6138349 6461420 6566210 7015256 7504240 8769070 10505936 12276698 12922840 13132420 14030512 17538140 24553396 25845680 26264840 30691745 35076280 49106792 52529680 61383490 70152560 98213584 122766980 227857361 245533960 455714722 491067920 911429444 1139286805 1595001527 1822858888 2278573610 3190003054 3645717776 4329289859 4557147220 6380006108 7975007635 8658579718 9114294440 12760012216 15950015270 17317159436 18228588880 21646449295 25520024432 30305029013 31900030540 34634318872 43292898590 60610058026 63800061080 69268637744 86585797180 121220116052 127600122160 151525145065 173171594360 242440232104 303050290130 346343188720 484880464208 606100580260 1212201160520 2424402321040