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7144315377432 = 2338919165926573
BaseRepresentation
bin110011111110110101001…
…1000010101011100011000
3221021222201121210202002020
41213331222120111130120
51414023024214034212
623110015252534440
71335105536506632
oct147755230253430
927258647722066
107144315377432
112304983862412
12974748921420
133ca92426219c
141a9b02a31a52
15c5c901e0d8c
hex67f6a615718

7144315377432 has 128 divisors (see below), whose sum is σ = 18184269312000. Its totient is φ = 2338710133760.

The previous prime is 7144315377421. The next prime is 7144315377443. The reversal of 7144315377432 is 2347735134417.

It is an interprime number because it is at equal distance from previous prime (7144315377421) and next prime (7144315377443).

It is a super-2 number, since 2×71443153774322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268842898 + ... + 268869470.

It is an arithmetic number, because the mean of its divisors is an integer number (142064604000).

Almost surely, 27144315377432 is an apocalyptic number.

It is an amenable number.

7144315377432 is an abundant number, since it is smaller than the sum of its proper divisors (11039953934568).

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

7144315377432 is a wasteful number, since it uses less digits than its factorization.

7144315377432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27521 (or 27517 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 51.

The spelling of 7144315377432 in words is "seven trillion, one hundred forty-four billion, three hundred fifteen million, three hundred seventy-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 89 178 191 267 356 382 534 573 659 712 764 1068 1146 1318 1528 1977 2136 2292 2636 3954 4584 5272 7908 15816 16999 26573 33998 50997 53146 58651 67996 79719 101994 106292 117302 125869 135992 159438 175953 203988 212584 234604 251738 318876 351906 377607 407976 469208 503476 637752 703812 755214 1006952 1407624 1510428 2364997 3020856 4729994 5075443 7094991 9459988 10150886 11202341 14189982 15226329 17511607 18919976 20301772 22404682 28379964 30452658 33607023 35023214 40603544 44809364 52534821 56759928 60905316 67214046 70046428 89618728 105069642 121810632 134428092 140092856 210139284 268856184 420278568 451714427 903428854 1355143281 1558533023 1806857708 2710286562 3117066046 3344716937 3613715416 4675599069 5420573124 6234132092 6689433874 9351198138 10034150811 10841146248 12468264184 13378867748 18702396276 20068301622 26757735496 37404792552 40136603244 80273206488 297679807393 595359614786 893039422179 1190719229572 1786078844358 2381438459144 3572157688716 7144315377432