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13400010240120 = 2333571772488127
BaseRepresentation
bin1100001011111110111011…
…0110011011000001111000
31202110000202202100011002000
43002333232312123001320
53224021210110140440
644255514004141000
72552055513502110
oct302775666330170
952400682304060
1013400010240120
1142a6a044966a9
121605018397760
137628004706aa
143447c76d2040
15183871e04730
hexc2feed9b078

13400010240120 has 128 divisors (see below), whose sum is σ = 51047658086400. Its totient is φ = 3062859481728.

The previous prime is 13400010240107. The next prime is 13400010240157. The reversal of 13400010240120 is 2104201000431.

13400010240120 is a `hidden beast` number, since 1 + 3 + 400 + 0 + 1 + 0 + 240 + 1 + 20 = 666.

It is a super-2 number, since 2×134000102401202 (a number of 27 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 = 13400010240093 and 13400010240102.

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, 886236504 + ... + 886251623.

It is an arithmetic number, because the mean of its divisors is an integer number (398809828800).

Almost surely, 213400010240120 is an apocalyptic number.

13400010240120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13400010240120 is an abundant number, since it is smaller than the sum of its proper divisors (37647647846280).

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

13400010240120 is a wasteful number, since it uses less digits than its factorization.

13400010240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772488154 (or 1772488144 counting only the distinct ones).

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

Adding to 13400010240120 its reverse (2104201000431), we get a palindrome (15504211240551).

The spelling of 13400010240120 in words is "thirteen trillion, four hundred billion, ten million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 1772488127 3544976254 5317464381 7089952508 8862440635 10634928762 12407416889 14179905016 15952393143 17724881270 21269857524 24814833778 26587321905 31904786286 35449762540 37222250667 42539715048 47857179429 49629667556 53174643810 62037084445 63809572572 70899525080 74444501334 79761965715 95714358858 99259335112 106349287620 111666752001 124074168890 127619145144 148889002668 159523931430 186111253335 191428717716 212698575240 223333504002 239285897145 248148337780 297778005336 319047862860 335000256003 372222506670 382857435432 446667008004 478571794290 496296675560 558333760005 638095725720 670000512006 744445013340 893334016008 957143588580 1116667520010 1340001024012 1488890026680 1675001280015 1914287177160 2233335040020 2680002048024 3350002560030 4466670080040 6700005120060 13400010240120