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141951096 = 23337223421
BaseRepresentation
bin10000111011000…
…00000001111000
3100220002212022000
420131200001320
5242314413341
622030301000
73342364410
oct1035400170
9326085260
10141951096
1173144a61
123b657760
1323541441
1414bd1640
15c6de8b6
hex8760078

141951096 has 128 divisors (see below), whose sum is σ = 453734400. Its totient is φ = 40279680.

The previous prime is 141951083. The next prime is 141951097. The reversal of 141951096 is 690159141.

It is a super-2 number, since 2×1419510962 = 40300227311202432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 141951096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141951097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336966 + ... + 337386.

It is an arithmetic number, because the mean of its divisors is an integer number (3544800).

Almost surely, 2141951096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141951096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226867200).

141951096 is an abundant number, since it is smaller than the sum of its proper divisors (311783304).

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

141951096 is a wasteful number, since it uses less digits than its factorization.

141951096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 141951096 is about 11914.3231448538. The cubic root of 141951096 is about 521.6504463831.

The spelling of 141951096 in words is "one hundred forty-one million, nine hundred fifty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 223 252 378 421 446 504 669 756 842 892 1263 1338 1512 1561 1684 1784 2007 2526 2676 2947 3122 3368 3789 4014 4683 5052 5352 5894 6021 6244 7578 8028 8841 9366 10104 11367 11788 12042 12488 14049 15156 16056 17682 18732 22734 23576 24084 26523 28098 30312 35364 37464 42147 45468 48168 53046 56196 70728 79569 84294 90936 93883 106092 112392 159138 168588 187766 212184 281649 318276 337176 375532 563298 636552 657181 751064 844947 1126596 1314362 1689894 1971543 2253192 2534841 2628724 3379788 3943086 5069682 5257448 5914629 6759576 7886172 10139364 11829258 15772344 17743887 20278728 23658516 35487774 47317032 70975548 141951096