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1441441132340 = 2251123222355541
BaseRepresentation
bin10100111110011100100…
…101100010111100110100
312002210121111210102220012
4110332130211202330310
5142104032412213330
63022104445555352
7206066153315606
oct24763445427464
95083544712805
101441441132340
11506347a393a0
121b343b875b58
13a5c09409c61
144daa2355176
1527766413c95
hex14f9c962f34

1441441132340 has 144 divisors (see below), whose sum is σ = 3467569706496. Its totient is φ = 499113542400.

The previous prime is 1441441132259. The next prime is 1441441132381. The reversal of 1441441132340 is 432311441441.

It is a junction number, because it is equal to n+sod(n) for n = 1441441132297 and 1441441132306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25924970 + ... + 25980510.

It is an arithmetic number, because the mean of its divisors is an integer number (24080345184).

Almost surely, 21441441132340 is an apocalyptic number.

1441441132340 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 1441441132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733784853248).

1441441132340 is an abundant number, since it is smaller than the sum of its proper divisors (2026128574156).

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

1441441132340 is a wasteful number, since it uses less digits than its factorization.

1441441132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55830 (or 55805 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 1441441132340 its reverse (432311441441), we get a palindrome (1873752573781).

The spelling of 1441441132340 in words is "one trillion, four hundred forty-one billion, four hundred forty-one million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 223 230 253 446 460 506 529 892 1012 1058 1115 1265 2116 2230 2453 2530 2645 4460 4906 5060 5129 5290 5819 9812 10258 10580 11638 12265 20516 23276 24530 25645 29095 49060 51290 55541 56419 58190 102580 111082 112838 116380 117967 222164 225676 235934 277705 282095 471868 555410 564190 589835 610951 1110820 1128380 1179670 1221902 1277443 1297637 2359340 2443804 2554886 2595274 3054755 5109772 5190548 6109510 6387215 6488185 12219020 12385643 12774430 12976370 14051873 24771286 25548860 25952740 28103746 29381189 49542572 56207492 58762378 61928215 70259365 117524756 123856430 136242073 140518730 146905945 247712860 272484146 281037460 284869789 293811890 323193079 544968292 569739578 587623780 646386158 681210365 1139479156 1292772316 1362420730 1424348945 1615965395 2724841460 2848697890 3133567679 3231930790 5697395780 6267135358 6463861580 6552005147 12534270716 13104010294 15667838395 26208020588 31335676790 32760025735 62671353580 65520051470 72072056617 131040102940 144144113234 288288226468 360360283085 720720566170 1441441132340