Search a number
-
+
423141101040 = 243572441103183
BaseRepresentation
bin1100010100001010010…
…11001100110111110000
31111110012102122002211010
412022011023030313300
523413043110213130
6522215514150520
742366555004620
oct6120513146760
91443172562733
10423141101040
111534a9136099
126a011122440
1330b95a01a38
14166a1700880
15b0182cb0b0
hex62852ccdf0

423141101040 has 160 divisors (see below), whose sum is σ = 1499757152256. Its totient is φ = 96677406720.

The previous prime is 423141101039. The next prime is 423141101063. The reversal of 423141101040 is 40101141324.

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 = 423141100998 and 423141101016.

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, 4049289 + ... + 4152471.

Almost surely, 2423141101040 is an apocalyptic number.

423141101040 is a gapful number since it is divisible by the number (40) 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 423141101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749878576128).

423141101040 is an abundant number, since it is smaller than the sum of its proper divisors (1076616051216).

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

423141101040 is a wasteful number, since it uses less digits than its factorization.

423141101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105647 (or 105641 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 423141101040 its reverse (40101141324), we get a palindrome (463242242364).

The spelling of 423141101040 in words is "four hundred twenty-three billion, one hundred forty-one million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2441 4882 7323 9764 12205 14646 17087 19528 24410 29292 34174 36615 39056 48820 51261 58584 68348 73230 85435 97640 102522 103183 117168 136696 146460 170870 195280 205044 206366 256305 273392 292920 309549 341740 410088 412732 512610 515915 585840 619098 683480 722281 820176 825464 1025220 1031830 1238196 1366960 1444562 1547745 1650928 2050440 2063660 2166843 2476392 2889124 3095490 3611405 4100880 4127320 4333686 4952784 5778248 6190980 7222810 8254640 8667372 10834215 11556496 12381960 14445620 17334744 21668430 24763920 28891240 34669488 43336860 57782480 86673720 173347440 251869703 503739406 755609109 1007478812 1259348515 1511218218 1763087921 2014957624 2518697030 3022436436 3526175842 3778045545 4029915248 5037394060 5289263763 6044872872 7052351684 7556091090 8815439605 10074788120 10578527526 12089745744 14104703368 15112182180 17630879210 20149576240 21157055052 26446318815 28209406736 30224364360 35261758420 42314110104 52892637630 60448728720 70523516840 84628220208 105785275260 141047033680 211570550520 423141101040