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141223432332320 = 25513232128347601
BaseRepresentation
bin100000000111000100100100…
…100001001010010000100000
3200112000211100211000110121122
4200013010210201022100200
5122002301042134113240
61220205052115511412
741514025206364562
oct4007044441122040
9615024324013548
10141223432332320
1140aa8580956438
1213a0a0698b8568
1360a540a8095b0
1426c33718c3332
15114d82b4354b5
hex80712484a420

141223432332320 has 144 divisors (see below), whose sum is σ = 375606176910552. Its totient is φ = 49876904140800.

The previous prime is 141223432332233. The next prime is 141223432332349. The reversal of 141223432332320 is 23233234322141.

It can be written as a sum of positive squares in 4 ways, for example, as 122111251756816 + 19112180575504 = 11050396^2 + 4371748^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63073481 + ... + 65274120.

Almost surely, 2141223432332320 is an apocalyptic number.

141223432332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141223432332320 is an abundant number, since it is smaller than the sum of its proper divisors (234382744578232).

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

141223432332320 is a wasteful number, since it uses less digits than its factorization.

141223432332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128347675 (or 128347644 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 141223432332320 its reverse (23233234322141), we get a palindrome (164456666654461).

The spelling of 141223432332320 in words is "one hundred forty-one trillion, two hundred twenty-three billion, four hundred thirty-two million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 529 598 736 920 1040 1058 1196 1495 1840 2080 2116 2392 2645 2990 3680 4232 4784 5290 5980 6877 8464 9568 10580 11960 13754 16928 21160 23920 27508 34385 42320 47840 55016 68770 84640 110032 137540 220064 275080 550160 1100320 128347601 256695202 513390404 641738005 1026780808 1283476010 1668518813 2053561616 2566952020 2951994823 3337037626 4107123232 5133904040 5903989646 6674075252 8342594065 10267808080 11807979292 13348150504 14759974115 16685188130 20535616160 23615958584 26696301008 29519948230 33370376260 38375932699 47231917168 53392602016 59039896460 66740752520 67895880929 76751865398 94463834336 118079792920 133481505040 135791761858 153503730796 191879663495 236159585840 266963010080 271583523716 307007461592 339479404645 383759326990 472319171680 543167047432 614014923184 678958809290 767518653980 882646452077 1086334094864 1228029846368 1357917618580 1535037307960 1765292904154 2172668189728 2715835237160 3070074615920 3530585808308 4413232260385 5431670474320 6140149231840 7061171616616 8826464520770 10863340948640 14122343233232 17652929041540 28244686466464 35305858083080 70611716166160 141223432332320