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140455325340 = 2232511365919387
BaseRepresentation
bin1000001011001111001…
…0100010111010011100
3111102112120110210200200
42002303302202322130
54300123030402330
6144305125023500
713101420365301
oct2026362427234
9442476423620
10140455325340
1154626407880
122327a254b90
1310325004885
146b25cb50a8
1539c0bb2a60
hex20b3ca2e9c

140455325340 has 144 divisors (see below), whose sum is σ = 464930444160. Its totient is φ = 34038714240.

The previous prime is 140455325299. The next prime is 140455325341. The reversal of 140455325340 is 43523554041.

140455325340 is a `hidden beast` number, since 1 + 40 + 4 + 55 + 32 + 534 + 0 = 666.

It is a super-2 number, since 2×1404553253402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140455325295 and 140455325304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140455325341) 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, 7235127 + ... + 7254513.

It is an arithmetic number, because the mean of its divisors is an integer number (3228683640).

Almost surely, 2140455325340 is an apocalyptic number.

140455325340 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 140455325340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232465222080).

140455325340 is an abundant number, since it is smaller than the sum of its proper divisors (324475118820).

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

140455325340 is a wasteful number, since it uses less digits than its factorization.

140455325340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23072 (or 23067 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 140455325340 its reverse (43523554041), we get a palindrome (183978879381).

The spelling of 140455325340 in words is "one hundred forty billion, four hundred fifty-five million, three hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 3659 7318 10977 14636 18295 19387 21954 32931 36590 38774 40249 43908 54885 58161 65862 73180 77548 80498 96935 109770 116322 120747 131724 160996 164655 174483 193870 201245 213257 219540 232644 241494 290805 329310 348966 362241 387740 402490 426514 482988 581610 603735 639771 658620 697932 724482 804980 853028 872415 1066285 1163220 1207470 1279542 1448964 1744830 1811205 1919313 2132570 2414940 2559084 3198855 3489660 3622410 3838626 4265140 6397710 7244820 7677252 9596565 12795420 19193130 38386260 70937033 141874066 212811099 283748132 354685165 425622198 638433297 709370330 780307363 851244396 1064055495 1276866594 1418740660 1560614726 2128110990 2340922089 2553733188 3121229452 3192166485 3901536815 4256221980 4681844178 6384332970 7022766267 7803073630 9363688356 11704610445 12768665940 14045532534 15606147260 23409220890 28091065068 35113831335 46818441780 70227662670 140455325340