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142033030034100 = 2235210130715268921
BaseRepresentation
bin100000010010110110100100…
…010011010011001010110100
3200121220020002001220222022120
4200102312210103103022310
5122104032121142042400
61222025023452155540
741626355614325502
oct4022664423231264
9617806061828276
10142033030034100
114128a96272a577
1213b1ab52468bb0
136133871008a3a
1427106147a9672
15116491211aca0
hex812da44d32b4

142033030034100 has 144 divisors (see below), whose sum is σ = 416369577683136. Its totient is φ = 37378316160000.

The previous prime is 142033030033997. The next prime is 142033030034107. The reversal of 142033030034100 is 1430030330241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142033030034107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1667640 + ... + 16936560.

Almost surely, 2142033030034100 is an apocalyptic number.

142033030034100 is a gapful number since it is divisible by the number (10) 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 142033030034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208184788841568).

142033030034100 is an abundant number, since it is smaller than the sum of its proper divisors (274336547649036).

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

142033030034100 is a wasteful number, since it uses less digits than its factorization.

142033030034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15269346 (or 15269339 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 142033030034100 its reverse (1430030330241), we get a palindrome (143463060364341).

The spelling of 142033030034100 in words is "one hundred forty-two trillion, thirty-three billion, thirty million, thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 307 404 505 606 614 921 1010 1212 1228 1515 1535 1842 2020 2525 3030 3070 3684 4605 5050 6060 6140 7575 7675 9210 10100 15150 15350 18420 23025 30300 30700 31007 46050 62014 92100 93021 124028 155035 186042 310070 372084 465105 620140 775175 930210 1550350 1860420 2325525 3100700 4651050 9302100 15268921 30537842 45806763 61075684 76344605 91613526 152689210 183227052 229033815 305378420 381723025 458067630 763446050 916135260 1145169075 1526892100 1542161021 2290338150 3084322042 4580676300 4626483063 4687558747 6168644084 7710805105 9252966126 9375117494 14062676241 15421610210 18505932252 18750234988 23132415315 23437793735 28125352482 30843220420 38554025525 46264830630 46875587470 56250704964 70313381205 77108051050 92529661260 93751174940 115662076575 117188968675 140626762410 154216102100 231324153150 234377937350 281253524820 351566906025 462648306300 468755874700 473443433447 703133812050 946886866894 1406267624100 1420330300341 1893773733788 2367217167235 2840660600682 4734434334470 5681321201364 7101651501705 9468868668940 11836085836175 14203303003410 23672171672350 28406606006820 35508257508525 47344343344700 71016515017050 142033030034100