Search a number
-
+
141020031432 = 23373132518329
BaseRepresentation
bin1000001101010101110…
…0101110100111001000
3111110222221001211211010
42003111130232213020
54302302112001212
6144441140403520
713121415326610
oct2032534564710
9443887054733
10141020031432
1154896149925
12233b73a65a0
13103b4cc39a7
146b7acb1a40
153a0555d03c
hex20d572e9c8

141020031432 has 128 divisors (see below), whose sum is σ = 416089497600. Its totient is φ = 38975040000.

The previous prime is 141020031413. The next prime is 141020031479. The reversal of 141020031432 is 234130020141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 141020031399 and 141020031408.

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, 16927044 + ... + 16935372.

It is an arithmetic number, because the mean of its divisors is an integer number (3250699200).

Almost surely, 2141020031432 is an apocalyptic number.

141020031432 is a gapful number since it is divisible by the number (12) 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 141020031432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208044748800).

141020031432 is an abundant number, since it is smaller than the sum of its proper divisors (275069466168).

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

141020031432 is a wasteful number, since it uses less digits than its factorization.

141020031432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11627 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 141020031432 its reverse (234130020141), we get a palindrome (375150051573).

The spelling of 141020031432 in words is "one hundred forty-one billion, twenty million, thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 3251 5208 6502 8329 9753 13004 16658 19506 22757 24987 26008 33316 39012 45514 49974 58303 66632 68271 78024 91028 99948 100781 116606 136542 174909 182056 199896 201562 233212 258199 273084 302343 349818 403124 466424 516398 546168 604686 699636 705467 774597 806248 1032796 1209372 1399272 1410934 1549194 1807393 2065592 2116401 2418744 2821868 3098388 3614786 4232802 5422179 5643736 6196776 7229572 8465604 10844358 14459144 16931208 21688716 27077579 43377432 54155158 81232737 108310316 162465474 189543053 216620632 324930948 379086106 568629159 649861896 758172212 839404949 1137258318 1516344424 1678809898 2274516636 2518214847 3357619796 4549033272 5036429694 5875834643 6715239592 10072859388 11751669286 17627503929 20145718776 23503338572 35255007858 47006677144 70510015716 141020031432