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141717474450 = 23452132126489
BaseRepresentation
bin1000001111111100000…
…1010000110010010010
3111112210112102121210000
42003333001100302102
54310214133140300
6145034253150430
713144614441306
oct2037701206222
9445715377700
10141717474450
1155113902112
1223570a8b416
1310496649276
146c05781d06
153a468c7c00
hex20ff050c92

141717474450 has 120 divisors (see below), whose sum is σ = 394077584340. Its totient is φ = 37761292800.

The previous prime is 141717474439. The next prime is 141717474473. The reversal of 141717474450 is 54474717141.

It is a happy number.

141717474450 is a `hidden beast` number, since 1 + 4 + 171 + 7 + 474 + 4 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 66658461489 + 75059012961 = 258183^2 + 273969^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 141717474396 and 141717474405.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5336806 + ... + 5363294.

Almost surely, 2141717474450 is an apocalyptic number.

141717474450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141717474450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197038792170).

141717474450 is an abundant number, since it is smaller than the sum of its proper divisors (252360109890).

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

141717474450 is a wasteful number, since it uses less digits than its factorization.

141717474450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27834 (or 27820 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 141717474450 in words is "one hundred forty-one billion, seven hundred seventeen million, four hundred seventy-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1321 1350 2025 2642 3963 4050 6605 7926 11889 13210 19815 23778 26489 33025 35667 39630 52978 59445 66050 71334 79467 99075 107001 118890 132445 158934 178335 198150 214002 238401 264890 297225 356670 397335 476802 535005 594450 662225 715203 794670 891675 1070010 1192005 1324450 1430406 1783350 1986675 2145609 2384010 2675025 3576015 3973350 4291218 5350050 5960025 7152030 10728045 11920050 17880075 21456090 34991969 35760150 53640225 69983938 104975907 107280450 174959845 209951814 314927721 349919690 524879535 629855442 874799225 944783163 1049759070 1574638605 1749598450 1889566326 2624397675 2834349489 3149277210 4723915815 5248795350 5668698978 7873193025 9447831630 14171747445 15746386050 23619579075 28343494890 47239158150 70858737225 141717474450