Search a number
-
+
141507444560 = 24519263479739
BaseRepresentation
bin1000001111001010000…
…0000011111101010000
3111112020220012222221012
42003302200003331100
54304301401211220
6145001351350052
713136454301256
oct2036240037520
9445226188835
10141507444560
1155016299599
1223512682328
1310461c8c921
146bc590c5d6
153a3323bac5
hex20f2803f50

141507444560 has 160 divisors (see below), whose sum is σ = 348834816000. Its totient is φ = 53236320768.

The previous prime is 141507444527. The next prime is 141507444577. The reversal of 141507444560 is 65444705141.

It is a super-4 number, since 4×1415074445604 (a number of 46 digits) contains 4444 as substring.

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, 191484671 + ... + 191485409.

It is an arithmetic number, because the mean of its divisors is an integer number (2180217600).

Almost surely, 2141507444560 is an apocalyptic number.

141507444560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141507444560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174417408000).

141507444560 is an abundant number, since it is smaller than the sum of its proper divisors (207327371440).

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

141507444560 is a wasteful number, since it uses less digits than its factorization.

141507444560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The spelling of 141507444560 in words is "one hundred forty-one billion, five hundred seven million, four hundred forty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 263 304 380 479 526 739 760 958 1052 1315 1478 1520 1916 2104 2395 2630 2956 3695 3832 4208 4790 4997 5260 5912 7390 7664 9101 9580 9994 10520 11824 14041 14780 18202 19160 19988 21040 24985 28082 29560 36404 38320 39976 45505 49970 56164 59120 70205 72808 79952 91010 99940 112328 125977 140410 145616 182020 194357 199880 224656 251954 280820 353981 364040 388714 399760 503908 561640 629885 707962 728080 777428 971785 1007816 1123280 1259770 1415924 1554856 1769905 1943570 2015632 2393563 2519540 2831848 3109712 3539810 3692783 3887140 4787126 5039080 5663696 6725639 7079620 7385566 7774280 9574252 10078160 11967815 13451278 14159240 14771132 15548560 18463915 19148504 23935630 26902556 28318480 29542264 33628195 36927830 38297008 47871260 53805112 59084528 67256390 73855660 93097003 95742520 107610224 134512780 147711320 186194006 191485040 269025560 295422640 372388012 465485015 538051120 744776024 930970030 1489552048 1768843057 1861940060 3537686114 3723880120 7075372228 7447760240 8844215285 14150744456 17688430570 28301488912 35376861140 70753722280 141507444560