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141092203104 = 25331621100741
BaseRepresentation
bin1000001101100111000…
…0000010101001100000
3111111011221212112202000
42003121300002221200
54302424100444404
6144452235324000
713123252636626
oct2033160025140
9444157775660
10141092203104
1154922963536
12234175b0600
13103c6c42b18
146b866db516
153a0ba67339
hex20d9c02a60

141092203104 has 96 divisors (see below), whose sum is σ = 411776880480. Its totient is φ = 47001254400.

The previous prime is 141092203093. The next prime is 141092203111. The reversal of 141092203104 is 401302290141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350174 + ... + 1450914.

It is an arithmetic number, because the mean of its divisors is an integer number (4289342505).

Almost surely, 2141092203104 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 141092203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205888440240).

141092203104 is an abundant number, since it is smaller than the sum of its proper divisors (270684677376).

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

141092203104 is a wasteful number, since it uses less digits than its factorization.

141092203104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102381 (or 102367 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 141092203104 its reverse (401302290141), we get a palindrome (542394493245).

The spelling of 141092203104 in words is "one hundred forty-one billion, ninety-two million, two hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1621 3242 4863 6484 9726 12968 14589 19452 25936 29178 38904 43767 51872 58356 77808 87534 100741 116712 155616 175068 201482 233424 302223 350136 402964 466848 604446 700272 805928 906669 1208892 1400544 1611856 1813338 2417784 2720007 3223712 3626676 4835568 5440014 7253352 9671136 10880028 14506704 21760056 29013408 43520112 87040224 163301161 326602322 489903483 653204644 979806966 1306409288 1469710449 1959613932 2612818576 2939420898 3919227864 4409131347 5225637152 5878841796 7838455728 8818262694 11757683592 15676911456 17636525388 23515367184 35273050776 47030734368 70546101552 141092203104