Search a number
-
+
141721061520 = 24353743371153
BaseRepresentation
bin1000001111111100111…
…0111100100010010000
3111112210210011212022110
42003333032330202100
54310221042432040
6145034502105320
713144660101243
oct2037716744220
9445723155273
10141721061520
1155115932135
122357211b240
1310497303bac
146c0603725a
153a46d85980
hex20ff3bc890

141721061520 has 160 divisors (see below), whose sum is σ = 461703699072. Its totient is φ = 35915636736.

The previous prime is 141721061513. The next prime is 141721061533. The reversal of 141721061520 is 25160127141.

141721061520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196264 + ... + 567416.

Almost surely, 2141721061520 is an apocalyptic number.

141721061520 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 141721061520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230851849536).

141721061520 is an abundant number, since it is smaller than the sum of its proper divisors (319982637552).

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

141721061520 is a wasteful number, since it uses less digits than its factorization.

141721061520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371249 (or 371243 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

Adding to 141721061520 its reverse (25160127141), we get a palindrome (166881188661).

The spelling of 141721061520 in words is "one hundred forty-one billion, seven hundred twenty-one million, sixty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 43 48 60 74 80 86 111 120 129 148 172 185 215 222 240 258 296 344 370 430 444 516 555 592 645 688 740 860 888 1032 1110 1290 1480 1591 1720 1776 2064 2220 2580 2960 3182 3440 4440 4773 5160 6364 7955 8880 9546 10320 12728 15910 19092 23865 25456 31820 38184 47730 63640 76368 95460 127280 190920 371153 381840 742306 1113459 1484612 1855765 2226918 2969224 3711530 4453836 5567295 5938448 7423060 8907672 11134590 13732661 14846120 15959579 17815344 22269180 27465322 29692240 31919158 41197983 44538360 47878737 54930644 63838316 68663305 79797895 82395966 89076720 95757474 109861288 127676632 137326610 159595790 164791932 191514948 205989915 219722576 239393685 255353264 274653220 319191580 329583864 383029896 411979830 478787370 549306440 590504423 638383160 659167728 766059792 823959660 957574740 1098612880 1181008846 1276766320 1647919320 1771513269 1915149480 2362017692 2952522115 3295838640 3543026538 3830298960 4724035384 5905044230 7086053076 8857566345 9448070768 11810088460 14172106152 17715132690 23620176920 28344212304 35430265380 47240353840 70860530760 141721061520