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1342336312240 = 2457111211917981
BaseRepresentation
bin10011100010001001011…
…110101010001110110000
311202022210201120221121121
4103202021132222032300
5133443101043442430
62504354421432024
7165660226252210
oct23421136521660
94668721527547
101342336312240
114783109431a0
121981a186b614
13997741c6c81
1448d80158240
1524db5aa2a7a
hex138897aa3b0

1342336312240 has 160 divisors (see below), whose sum is σ = 3891569495040. Its totient is φ = 418332748800.

The previous prime is 1342336312223. The next prime is 1342336312271. The reversal of 1342336312240 is 422136332431.

It is a junction number, because it is equal to n+sod(n) for n = 1342336312196 and 1342336312205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74644050 + ... + 74662030.

It is an arithmetic number, because the mean of its divisors is an integer number (24322309344).

Almost surely, 21342336312240 is an apocalyptic number.

1342336312240 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 1342336312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945784747520).

1342336312240 is an abundant number, since it is smaller than the sum of its proper divisors (2549233182800).

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

1342336312240 is a wasteful number, since it uses less digits than its factorization.

1342336312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30131 (or 30125 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The spelling of 1342336312240 in words is "one trillion, three hundred forty-two billion, three hundred thirty-six million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 12119 17981 24238 35962 48476 60595 71924 84833 89905 96952 121190 125867 133309 143848 169666 179810 193904 197791 242380 251734 266618 287696 339332 359620 395582 424165 484760 503468 533236 629335 666545 678664 719240 791164 848330 933163 969520 988955 1006936 1066472 1258670 1333090 1357328 1384537 1438480 1582328 1696660 1866326 1977910 2013872 2132944 2517340 2666180 2769074 3164656 3393320 3732652 3955820 4665815 5034680 5332360 5538148 6786640 6922685 7465304 7911640 9331630 10069360 10664720 11076296 13845370 14930608 15823280 18663260 22152592 27690740 37326520 55381480 74653040 110762960 217911739 435823478 871646956 1089558695 1525382173 1743293912 2179117390 2397029129 3050764346 3486587824 4358234780 4794058258 6101528692 7626910865 8716469560 9588116516 11985145645 12203057384 15253821730 16779203903 17432939120 19176233032 23970291290 24406114768 30507643460 33558407806 38352466064 47940582580 61015286920 67116815612 83896019515 95881165160 122030573840 134233631224 167792039030 191762330320 268467262448 335584078060 671168156120 1342336312240