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4430404012240 = 2451713945751283
BaseRepresentation
bin100000001111000100010…
…1010000100100011010000
3120200112122110202220220101
41000132020222010203100
51040041431411342430
613231144405422144
7635041353515203
oct100361052044320
916615573686811
104430404012240
111458a18623408
125b678540a954
13261a2941675b
1411460b47793a
157a3a1bd4dca
hex40788a848d0

4430404012240 has 160 divisors (see below), whose sum is σ = 11009329107840. Its totient is φ = 1652261732352.

The previous prime is 4430404012217. The next prime is 4430404012247. The reversal of 4430404012240 is 422104040344.

It is a junction number, because it is equal to n+sod(n) for n = 4430404012199 and 4430404012208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4430404012247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86365639 + ... + 86416921.

It is an arithmetic number, because the mean of its divisors is an integer number (68808306924).

Almost surely, 24430404012240 is an apocalyptic number.

4430404012240 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 4430404012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504664553920).

4430404012240 is an abundant number, since it is smaller than the sum of its proper divisors (6578925095600).

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

4430404012240 is a wasteful number, since it uses less digits than its factorization.

4430404012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51909 (or 51903 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4430404012240 its reverse (422104040344), we get a palindrome (4852508052584).

The spelling of 4430404012240 in words is "four trillion, four hundred thirty billion, four hundred four million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 139 170 272 278 340 457 556 680 695 914 1112 1360 1390 1828 2224 2285 2363 2780 3656 4570 4726 5560 7312 7769 9140 9452 11120 11815 15538 18280 18904 23630 31076 36560 37808 38845 47260 51283 62152 63523 77690 94520 102566 124304 127046 155380 189040 205132 254092 256415 310760 317615 410264 508184 512830 621520 635230 820528 871811 1016368 1025660 1079891 1270460 1743622 2051320 2159782 2540920 3487244 4102640 4319564 4359055 5081840 5399455 6974488 7128337 8639128 8718110 10798910 13948976 14256674 17278256 17436220 21597820 23436331 28513348 34872440 35641685 43195640 46872662 57026696 69744880 71283370 86391280 93745324 114053392 117181655 121181729 142566740 187490648 234363310 242363458 285133480 374981296 398417627 468726620 484726916 570266960 605908645 796835254 937453240 969453832 1211817290 1593670508 1874906480 1938907664 1992088135 2423634580 3187341016 3257650009 3984176270 4847269160 6374682032 6515300018 7968352540 9694538320 13030600036 15936705080 16288250045 26061200072 31873410160 32576500090 52122400144 55380050153 65153000180 110760100306 130306000360 221520200612 260612000720 276900250765 443040401224 553800501530 886080802448 1107601003060 2215202006120 4430404012240