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1342004001120 = 253251131182393
BaseRepresentation
bin10011100001110101101…
…010111111100101100000
311202021221120021210110100
4103201311222333211200
5133441411011013440
62504301431102400
7165646052540136
oct23416552774540
94667846253410
101342004001120
114781602aaa02
1219810a511a00
13997203c5283
1448d4bd73756
1524d96810230
hex13875abf960

1342004001120 has 144 divisors (see below), whose sum is σ = 4580049120192. Its totient is φ = 357831751680.

The previous prime is 1342004001067. The next prime is 1342004001137. The reversal of 1342004001120 is 211004002431.

1342004001120 is a `hidden beast` number, since 1 + 34 + 200 + 400 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13420040011202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1342004001093 and 1342004001102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16246644 + ... + 16329036.

It is an arithmetic number, because the mean of its divisors is an integer number (31805896668).

Almost surely, 21342004001120 is an apocalyptic number.

1342004001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1342004001120 is an abundant number, since it is smaller than the sum of its proper divisors (3238045119072).

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

1342004001120 is a wasteful number, since it uses less digits than its factorization.

1342004001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93725 (or 93714 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1342004001120 its reverse (211004002431), we get a palindrome (1553008003551).

The spelling of 1342004001120 in words is "one trillion, three hundred forty-two billion, four million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 11311 22622 33933 45244 56555 67866 82393 90488 101799 113110 135732 164786 169665 180976 203598 226220 247179 271464 329572 339330 361952 407196 411965 452440 494358 508995 542928 659144 678660 741537 814392 823930 904880 988716 1017990 1085856 1235895 1318288 1357320 1483074 1628784 1647860 1809760 1977432 2035980 2471790 2636576 2714640 2966148 3257568 3295720 3707685 3954864 4071960 4943580 5429280 5932296 6591440 7415370 7909728 8143920 9887160 11864592 13182880 14830740 16287840 19774320 23729184 29661480 39548640 59322960 118645920 931947223 1863894446 2795841669 3727788892 4659736115 5591683338 7455577784 8387525007 9319472230 11183366676 13979208345 14911155568 16775050014 18638944460 22366733352 27958416690 29822311136 33550100028 37277888920 41937625035 44733466704 55916833380 67100200056 74555777840 83875250070 89466933408 111833666760 134200400112 149111555680 167750500140 223667333520 268400800224 335501000280 447334667040 671002000560 1342004001120