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141433223202 = 23323379731729
BaseRepresentation
bin1000001110111000010…
…0111011100000100010
3111112001201120011101000
42003232010323200202
54304123401120302
6144550140452430
713134563363415
oct2035604734042
9445051504330
10141433223202
1154a88404a27
12234b184a116
131044c7a386b
146bb9b0bb7c
153a2b97a31c
hex20ee13b822

141433223202 has 128 divisors (see below), whose sum is σ = 340308057600. Its totient is φ = 43422179328.

The previous prime is 141433223101. The next prime is 141433223203. The reversal of 141433223202 is 202322334141.

141433223202 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 332 + 2 + 320 + 2 = 666.

It is a super-2 number, since 2×1414332232022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (141433223203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4441674 + ... + 4473402.

It is an arithmetic number, because the mean of its divisors is an integer number (2658656700).

Almost surely, 2141433223202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141433223202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170154028800).

141433223202 is an abundant number, since it is smaller than the sum of its proper divisors (198874834398).

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

141433223202 is a wasteful number, since it uses less digits than its factorization.

141433223202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31897 (or 31891 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 141433223202 its reverse (202322334141), we get a palindrome (343755557343).

The spelling of 141433223202 in words is "one hundred forty-one billion, four hundred thirty-three million, two hundred twenty-three thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 27 37 46 54 69 74 97 111 138 194 207 222 291 333 414 582 621 666 851 873 999 1242 1702 1746 1998 2231 2553 2619 3589 4462 5106 5238 6693 7178 7659 10767 13386 15318 20079 21534 22977 31729 32301 40158 45954 60237 63458 64602 82547 95187 96903 120474 165094 190374 193806 247641 285561 495282 571122 729767 742923 856683 1173973 1459534 1485846 1713366 2189301 2228769 2347946 3077713 3521919 4378602 4457538 6155426 6567903 7043838 9233139 10565757 13135806 18466278 19703709 21131514 27001379 27699417 31697271 39407418 54002758 55398834 63394542 70787399 81004137 83098251 113875381 141574798 162008274 166196502 212362197 227750762 243012411 341626143 424724394 486024822 637086591 683252286 729037233 1024878429 1274173182 1458074466 1911259773 2049756858 2619133763 3074635287 3822519546 5238267526 6149270574 7857401289 15714802578 23572203867 47144407734 70716611601 141433223202