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400422401031320 = 235298571291731183
BaseRepresentation
bin101101100001011101001101…
…0111110010011110010011000
31221111210000012121022210011022
41123002322122332103302120
5404441010034131000240
63535343302255022012
7150225364244310503
oct13302723276236230
91844700177283138
10400422401031320
11106650206434418
1238ab0663b0a908
1314257893b20bc5
1470c479494013a
153145d8b46e9b5
hex16c2e9af93c98

400422401031320 has 128 divisors (see below), whose sum is σ = 933207357139200. Its totient is φ = 154448531091456.

The previous prime is 400422401031319. The next prime is 400422401031347. The reversal of 400422401031320 is 23130104224004.

It is a self number, because there is not a number n which added to its sum of digits gives 400422401031320.

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, 12841032449 + ... + 12841063631.

It is an arithmetic number, because the mean of its divisors is an integer number (7290682477650).

Almost surely, 2400422401031320 is an apocalyptic number.

400422401031320 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 400422401031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466603678569600).

400422401031320 is an abundant number, since it is smaller than the sum of its proper divisors (532784956107880).

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

400422401031320 is a wasteful number, since it uses less digits than its factorization.

400422401031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44997 (or 44993 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 400422401031320 its reverse (23130104224004), we get a palindrome (423552505255324).

The spelling of 400422401031320 in words is "four hundred trillion, four hundred twenty-two billion, four hundred one million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 857 1160 1714 3428 4285 6856 8570 12917 17140 24853 25834 31183 34280 49706 51668 62366 64585 99412 103336 124265 124732 129170 155915 198824 248530 249464 258340 311830 374593 497060 516680 623660 749186 904307 994120 1247320 1498372 1808614 1872965 2996744 3617228 3745930 4521535 7234456 7491860 9043070 11069869 14983720 18086140 22139738 26723831 36172280 44279476 53447662 55349345 88558952 106895324 110698690 133619155 213790648 221397380 267238310 321026201 402790811 442794760 534476620 642052402 774991099 805581622 1068953240 1284104804 1549982198 1605131005 1611163244 2013954055 2568209608 3099964396 3210262010 3222326488 3874955495 4027908110 6199928792 6420524020 7749910990 8055816220 11680933519 12841048040 15499821980 16111632440 23361867038 30999643960 46723734076 58404667595 93447468152 116809335190 233618670380 345191725027 467237340760 690383450054 1380766900108 1725958625135 2761533800216 3451917250270 6903834500540 10010560025783 13807669001080 20021120051566 40042240103132 50052800128915 80084480206264 100105600257830 200211200515660 400422401031320