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322053442040 = 2351117192266067
BaseRepresentation
bin1001010111110111110…
…00011000100111111000
31010210021110100221220202
410223323320120213320
520234031140121130
6403541014541332
732160533042621
oct4537370304770
91123243327822
10322053442040
11114644854760
12524bb067848
13244a5a728b5
1411832034a48
15859d847145
hex4afbe189f8

322053442040 has 128 divisors (see below), whose sum is σ = 881047238400. Its totient is φ = 104420321280.

The previous prime is 322053442037. The next prime is 322053442043. The reversal of 322053442040 is 40244350223.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (322053442037) and next prime (322053442043).

It is a junction number, because it is equal to n+sod(n) for n = 322053441994 and 322053442012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322053442043) 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, 990914 + ... + 1275153.

It is an arithmetic number, because the mean of its divisors is an integer number (6883181550).

Almost surely, 2322053442040 is an apocalyptic number.

It is an amenable number.

322053442040 is an abundant number, since it is smaller than the sum of its proper divisors (558993796360).

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

322053442040 is a wasteful number, since it uses less digits than its factorization.

322053442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266125 (or 2266121 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 322053442040 its reverse (40244350223), we get a palindrome (362297792263).

The spelling of 322053442040 in words is "three hundred twenty-two billion, fifty-three million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 19 20 22 34 38 40 44 55 68 76 85 88 95 110 136 152 170 187 190 209 220 323 340 374 380 418 440 646 680 748 760 836 935 1045 1292 1496 1615 1672 1870 2090 2584 3230 3553 3740 4180 6460 7106 7480 8360 12920 14212 17765 28424 35530 71060 142120 2266067 4532134 9064268 11330335 18128536 22660670 24926737 38523139 43055273 45321340 49853474 77046278 86110546 90642680 99706948 124633685 154092556 172221092 192615695 199413896 215276365 249267370 308185112 344442184 385231390 423754529 430552730 473608003 498534740 731939641 770462780 847509058 861105460 947216006 997069480 1463879282 1540925560 1695018116 1722210920 1894432012 2118772645 2368040015 2927758564 3390036232 3659698205 3788864024 4237545290 4736080030 5855517128 7319396410 8051336051 8475090580 9472160060 14638792820 16102672102 16950181160 18944320120 29277585640 32205344204 40256680255 64410688408 80513360510 161026721020 322053442040