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140137242440 = 235131913174451
BaseRepresentation
bin1000001010000011010…
…1001001111101001000
3111101201101221111222112
42002200311021331020
54244000113224230
6144213403241452
713060505623016
oct2024065117510
9441641844875
10140137242440
1154482902448
12231ab819288
13102a4145140
146ad59558b6
1539a2cd0d95
hex20a0d49f48

140137242440 has 128 divisors (see below), whose sum is σ = 342494853120. Its totient is φ = 51298176000.

The previous prime is 140137242439. The next prime is 140137242449. The reversal of 140137242440 is 44242731041.

It is a super-3 number, since 3×1401372424403 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140137242397 and 140137242406.

It is not an unprimeable number, because it can be changed into a prime (140137242449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31482215 + ... + 31486665.

It is an arithmetic number, because the mean of its divisors is an integer number (2675741040).

Almost surely, 2140137242440 is an apocalyptic number.

140137242440 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 140137242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171247426560).

140137242440 is an abundant number, since it is smaller than the sum of its proper divisors (202357610680).

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

140137242440 is a wasteful number, since it uses less digits than its factorization.

140137242440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

Adding to 140137242440 its reverse (44242731041), we get a palindrome (184379973481).

The spelling of 140137242440 in words is "one hundred forty billion, one hundred thirty-seven million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 191 260 317 382 520 634 764 955 1268 1528 1585 1910 2483 2536 3170 3820 4121 4451 4966 6340 7640 8242 8902 9932 12415 12680 16484 17804 19864 20605 22255 24830 32968 35608 41210 44510 49660 57863 60547 82420 89020 99320 115726 121094 164840 178040 231452 242188 289315 302735 462904 484376 578630 605470 787111 850141 1157260 1210940 1410967 1574222 1700282 2314520 2421880 2821934 3148444 3400564 3935555 4250705 5643868 6296888 6801128 7054835 7871110 8501410 11051833 11287736 14109670 15742220 17002820 18342571 22103666 28219340 31484440 34005640 36685142 44207332 55259165 56438680 73370284 88414664 91712855 110518330 146740568 183425710 221036660 269494697 366851420 442073320 538989394 733702840 1077978788 1347473485 2155957576 2694946970 3503431061 5389893940 7006862122 10779787880 14013724244 17517155305 28027448488 35034310610 70068621220 140137242440