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141112132304 = 241113591278231
BaseRepresentation
bin1000001101101011110…
…0000100001011010000
3111111020100101001110112
42003122330010023100
54302444201213204
6144454230420452
713123614222353
oct2033274041320
9444210331415
10141112132304
1154933135650
1223422201728
13103cb0ccc50
146b8920829a
153a0d6a226e
hex20daf042d0

141112132304 has 160 divisors (see below), whose sum is σ = 329258926080. Its totient is φ = 57739046400.

The previous prime is 141112132279. The next prime is 141112132351. The reversal of 141112132304 is 403231211141.

It is a self number, because there is not a number n which added to its sum of digits gives 141112132304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17139869 + ... + 17148099.

It is an arithmetic number, because the mean of its divisors is an integer number (2057868288).

Almost surely, 2141112132304 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 141112132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164629463040).

141112132304 is an abundant number, since it is smaller than the sum of its proper divisors (188146793776).

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

141112132304 is a wasteful number, since it uses less digits than its factorization.

141112132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8449 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 141112132304 its reverse (403231211141), we get a palindrome (544343343445).

The spelling of 141112132304 in words is "one hundred forty-one billion, one hundred twelve million, one hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 59 88 104 118 127 143 176 208 236 254 286 472 508 572 649 767 944 1016 1144 1298 1397 1534 1651 2032 2288 2596 2794 3068 3302 5192 5588 6136 6604 7493 8231 8437 10384 11176 12272 13208 14986 16462 16874 18161 22352 26416 29972 32924 33748 36322 59944 65848 67496 72644 82423 90541 97409 107003 119888 131696 134992 145288 164846 181082 194818 214006 290576 329692 362164 389636 428012 485629 659384 724328 779272 856024 971258 1045337 1071499 1177033 1318768 1448656 1558544 1712048 1942516 2090674 2142998 2354066 3885032 4181348 4285996 4708132 5341919 6313177 7770064 8362696 8571992 9416264 10683838 11498707 12626354 13589381 16725392 17143984 18832528 21367676 22997414 25252708 27178762 42735352 45994828 50505416 54357524 61674883 69444947 85470704 91989656 101010832 108715048 123349766 138889894 149483191 183979312 217430096 246699532 277779788 298966382 493399064 555559576 597932764 678423713 801773479 986798128 1111119152 1195865528 1356847426 1603546958 2391731056 2713694852 3207093916 5427389704 6414187832 8819508269 10854779408 12828375664 17639016538 35278033076 70556066152 141112132304