Search a number
-
+
141432511440 = 243511419127859
BaseRepresentation
bin1000001110111000001…
…0001101101111010000
3111112001200020000000110
42003232002031233100
54304123210331230
6144550113321320
713134554340333
oct2035602155720
9445050200013
10141432511440
1154a87a691a0
12234b1566240
131044c5b48bc
146bb99a461a
153a2b8894b0
hex20ee08dbd0

141432511440 has 160 divisors (see below), whose sum is σ = 479444313600. Its totient is φ = 34204572160.

The previous prime is 141432511427. The next prime is 141432511447. The reversal of 141432511440 is 44115234141.

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

It is a junction number, because it is equal to n+sod(n) for n = 141432511398 and 141432511407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141432511447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042231 + ... + 1170089.

It is an arithmetic number, because the mean of its divisors is an integer number (2996526960).

Almost surely, 2141432511440 is an apocalyptic number.

141432511440 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 141432511440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239722156800).

141432511440 is an abundant number, since it is smaller than the sum of its proper divisors (338011802160).

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

141432511440 is a wasteful number, since it uses less digits than its factorization.

141432511440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128305 (or 128299 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 141432511440 its reverse (44115234141), we get a palindrome (185547745581).

The spelling of 141432511440 in words is "one hundred forty-one billion, four hundred thirty-two million, five hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 419 440 528 660 838 880 1257 1320 1676 2095 2514 2640 3352 4190 4609 5028 6285 6704 8380 9218 10056 12570 13827 16760 18436 20112 23045 25140 27654 33520 36872 46090 50280 55308 69135 73744 92180 100560 110616 127859 138270 184360 221232 255718 276540 368720 383577 511436 553080 639295 767154 1022872 1106160 1278590 1406449 1534308 1917885 2045744 2557180 2812898 3068616 3835770 4219347 5114360 5625796 6137232 7032245 7671540 8438694 10228720 11251592 14064490 15343080 16877388 21096735 22503184 28128980 30686160 33754776 42193470 53572921 56257960 67509552 84386940 107145842 112515920 160718763 168773880 214291684 267864605 321437526 337547760 428583368 535729210 589302131 642875052 803593815 857166736 1071458420 1178604262 1285750104 1607187630 1767906393 2142916840 2357208524 2571500208 2946510655 3214375260 3535812786 4285833680 4714417048 5893021310 6428750520 7071625572 8839531965 9428834096 11786042620 12857501040 14143251144 17679063930 23572085240 28286502288 35358127860 47144170480 70716255720 141432511440