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141261450 = 235211243181
BaseRepresentation
bin10000110101101…
…11101010001010
3100211210211021120
420122313222022
5242130331300
622003420110
73333462651
oct1032675212
9324724246
10141261450
1172813900
123b384636
132335c575
1414a92198
15c6053a0
hex86b7a8a

141261450 has 144 divisors (see below), whose sum is σ = 396203808. Its totient is φ = 33264000.

The previous prime is 141261437. The next prime is 141261479. The reversal of 141261450 is 54162141.

It is a happy number.

141261450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1412614502 = 39909594512205000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141261450.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 780360 + ... + 780540.

Almost surely, 2141261450 is an apocalyptic number.

141261450 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 141261450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198101904).

141261450 is an abundant number, since it is smaller than the sum of its proper divisors (254942358).

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

141261450 is a wasteful number, since it uses less digits than its factorization.

141261450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 141261450 is about 11885.3460193635. The cubic root of 141261450 is about 520.8042903627.

It can be divided in two parts, 14126 and 1450, that added together give a triangular number (15576 = T176).

The spelling of 141261450 in words is "one hundred forty-one million, two hundred sixty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 43 50 55 66 75 86 110 121 129 150 165 181 215 242 258 275 330 362 363 430 473 543 550 605 645 726 825 905 946 1075 1086 1210 1290 1419 1650 1810 1815 1991 2150 2365 2715 2838 3025 3225 3630 3982 4525 4730 5203 5430 5973 6050 6450 7095 7783 9050 9075 9955 10406 11825 11946 13575 14190 15566 15609 18150 19910 21901 23349 23650 26015 27150 29865 31218 35475 38915 43802 46698 49775 52030 59730 65703 70950 77830 78045 85613 99550 109505 116745 130075 131406 149325 156090 171226 194575 219010 233490 256839 260150 298650 328515 389150 390225 428065 513678 547525 583725 657030 780450 856130 941743 1095050 1167450 1284195 1642575 1883486 2140325 2568390 2825229 3285150 4280650 4708715 5650458 6420975 9417430 12841950 14126145 23543575 28252290 47087150 70630725 141261450