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141400182 = 237211231901
BaseRepresentation
bin10000110110110…
…01100001110110
3100212001212120210
420123121201312
5242144301212
622010410250
73334611300
oct1033314166
9325055523
10141400182
11728a9060
123b430986
13233aa761
1414aca970
15c63153c
hex86d9876

141400182 has 96 divisors (see below), whose sum is σ = 374678784. Its totient is φ = 35112000.

The previous prime is 141400163. The next prime is 141400183. The reversal of 141400182 is 281004141.

It is a happy number.

141400182 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1414001822 = 39988022939266248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141400183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73432 + ... + 75332.

It is an arithmetic number, because the mean of its divisors is an integer number (3902904).

Almost surely, 2141400182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141400182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187339392).

141400182 is an abundant number, since it is smaller than the sum of its proper divisors (233278602).

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

141400182 is a wasteful number, since it uses less digits than its factorization.

141400182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 141400182 is about 11891.1808496886. The cubic root of 141400182 is about 520.9747274751.

The spelling of 141400182 in words is "one hundred forty-one million, four hundred thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 49 66 69 77 98 138 147 154 161 231 253 294 322 462 483 506 539 759 966 1078 1127 1518 1617 1771 1901 2254 3234 3381 3542 3802 5313 5703 6762 10626 11406 12397 13307 20911 24794 26614 37191 39921 41822 43723 62733 74382 79842 87446 93149 125466 131169 146377 186298 262338 279447 292754 306061 439131 480953 558894 612122 878262 918183 961906 1024639 1442859 1836366 2049278 2142427 2885718 3073917 3366671 4284854 6147834 6427281 6733342 10100013 12854562 20200026 23566697 47133394 70700091 141400182