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141122431214240 = 2557235478355249
BaseRepresentation
bin100000000101100110100000…
…011000011110001010100000
3200111200011122212121001112112
4200011212200120132022200
5121444122214342323430
61220050425551214452
741503521255140510
oct4005464030361240
9614604585531475
10141122431214240
1140a69761403523
12139b2580817428
136098a3278aab8
1426bc50d903840
15114adb9398195
hex8059a061e2a0

141122431214240 has 96 divisors (see below), whose sum is σ = 397597110624000. Its totient is φ = 46281145135104.

The previous prime is 141122431214231. The next prime is 141122431214293. The reversal of 141122431214240 is 42412134221141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 141122431214197 and 141122431214206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2739151865 + ... + 2739203384.

It is an arithmetic number, because the mean of its divisors is an integer number (4141636569000).

Almost surely, 2141122431214240 is an apocalyptic number.

141122431214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141122431214240 is an abundant number, since it is smaller than the sum of its proper divisors (256474679409760).

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

141122431214240 is a wasteful number, since it uses less digits than its factorization.

141122431214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478355294 (or 5478355286 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 141122431214240 its reverse (42412134221141), we get a palindrome (183534565435381).

The spelling of 141122431214240 in words is "one hundred forty-one trillion, one hundred twenty-two billion, four hundred thirty-one million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 6440 12880 25760 5478355249 10956710498 21913420996 27391776245 38348486743 43826841992 54783552490 76696973486 87653683984 109567104980 126002170727 153393946972 175307367968 191742433715 219134209960 252004341454 306787893944 383484867430 438268419920 504008682908 613575787888 630010853635 766969734860 876536839840 882015195089 1008017365816 1227151575776 1260021707270 1533939469720 1764030390178 2016034731632 2520043414540 3067878939440 3528060780356 4032069463264 4410075975445 5040086829080 6135757878880 7056121560712 8820151950890 10080173658160 14112243121424 17640303901780 20160347316320 28224486242848 35280607803560 70561215607120 141122431214240