Search a number
-
+
352342234251120 = 243519119419647033
BaseRepresentation
bin101000000011101000001000…
…1101101100011111101110000
31201012112120220010001222120010
41100013100101231203331300
5332140233343432013440
63245211442102214520
7134133613011644241
oct12007202155437560
91635476803058503
10352342234251120
11a22a3558767663
1233626351424440
131217a965104899
146301652c34cc8
152ab036b877580
hex1407411b63f70

352342234251120 has 160 divisors (see below), whose sum is σ = 1149759748166400. Its totient is φ = 89011892017152.

The previous prime is 352342234251097. The next prime is 352342234251157. The reversal of 352342234251120 is 21152432243253.

It is a super-2 number, since 2×3523422342511202 (a number of 30 digits) contains 22 as substring.

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, 544227124 + ... + 544874156.

It is an arithmetic number, because the mean of its divisors is an integer number (7185998426040).

Almost surely, 2352342234251120 is an apocalyptic number.

352342234251120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352342234251120 is an abundant number, since it is smaller than the sum of its proper divisors (797417513915280).

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

352342234251120 is a wasteful number, since it uses less digits than its factorization.

352342234251120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766487 (or 766481 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 352342234251120 its reverse (21152432243253), we get a palindrome (373494666494373).

The spelling of 352342234251120 in words is "three hundred fifty-two trillion, three hundred forty-two billion, two hundred thirty-four million, two hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 119419 238838 358257 477676 597095 647033 716514 955352 1194190 1294066 1433028 1791285 1910704 1941099 2268961 2388380 2588132 2866056 3235165 3582570 3882198 4537922 4776760 5176264 5732112 6470330 6806883 7165140 7764396 9075844 9553520 9705495 10352528 11344805 12293627 12940660 13613766 14330280 15528792 18151688 19410990 22689610 24587254 25881320 27227532 28660560 31057584 34034415 36303376 36880881 38821980 45379220 49174508 51762640 54455064 61468135 68068830 73761762 77643960 90758440 98349016 108910128 122936270 136137660 147523524 155287920 181516880 184404405 196698032 245872540 272275320 295047048 368808810 491745080 544550640 590094096 737617620 983490160 1475235240 2950470480 77268033827 154536067654 231804101481 309072135308 386340169135 463608202962 618144270616 772680338270 927216405924 1159020507405 1236288541232 1468092642713 1545360676540 1854432811848 2318041014810 2936185285426 3090721353080 3708865623696 4404277928139 4636082029620 5872370570852 6181442706160 7340463213565 8808555856278 9272164059240 11744741141704 14680926427130 17617111712556 18544328118480 22021389640695 23489482283408 29361852854260 35234223425112 44042779281390 58723705708520 70468446850224 88085558562780 117447411417040 176171117125560 352342234251120