Search a number
-
+
401154422221320 = 233529412811567299
BaseRepresentation
bin101101100110110010000101…
…0110101100010101000001000
31221121100222200102100011201020
41123031210022311202220020
5410040003224042040240
63541103444125352440
7150332310355621215
oct13315441265425010
91847328612304636
10401154422221320
111069026a92a6aa9
1238baa4b8408720
13142ab913309241
14710bd988a2b0c
153159e317ec0d0
hex16cd90ad62a08

401154422221320 has 128 divisors (see below), whose sum is σ = 1275326927280000. Its totient is φ = 100766571960320.

The previous prime is 401154422221309. The next prime is 401154422221321. The reversal of 401154422221320 is 23122224451104.

It is not an unprimeable number, because it can be changed into a prime (401154422221321) 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, 1405640970 + ... + 1405926329.

It is an arithmetic number, because the mean of its divisors is an integer number (9963491619375).

Almost surely, 2401154422221320 is an apocalyptic number.

401154422221320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401154422221320 is an abundant number, since it is smaller than the sum of its proper divisors (874172505058680).

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

401154422221320 is a wasteful number, since it uses less digits than its factorization.

401154422221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811567383 (or 2811567379 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 401154422221320 its reverse (23122224451104), we get a palindrome (424276646672424).

The spelling of 401154422221320 in words is "four hundred one trillion, one hundred fifty-four billion, four hundred twenty-two million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 41 58 60 82 87 116 120 123 145 164 174 205 232 246 290 328 348 410 435 492 580 615 696 820 870 984 1160 1189 1230 1640 1740 2378 2460 3480 3567 4756 4920 5945 7134 9512 11890 14268 17835 23780 28536 35670 47560 71340 142680 2811567299 5623134598 8434701897 11246269196 14057836495 16869403794 22492538392 28115672990 33738807588 42173509485 56231345980 67477615176 81535451671 84347018970 112462691960 115274259259 163070903342 168694037940 230548518518 244606355013 326141806684 337388075880 345822777777 407677258355 461097037036 489212710026 576371296295 652283613368 691645555554 815354516710 922194074072 978425420052 1152742592590 1223031775065 1383291111108 1630709033420 1729113888885 1956850840104 2305485185180 2446063550130 2766582222216 3261418066840 3342953518511 3458227777770 4610970370360 4892127100260 6685907037022 6916455555540 9784254200520 10028860555533 13371814074044 13832911111080 16714767592555 20057721111066 26743628148088 33429535185110 40115442222132 50144302777665 66859070370220 80230884444264 100288605555330 133718140740440 200577211110660 401154422221320