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140152305540 = 223513433414971
BaseRepresentation
bin1000001010000110111…
…0100111011110000100
3111101202110021210200010
42002201232213132010
54244012442234130
6144215102150220
713061050640532
oct2024156473604
9441673253603
10140152305540
1154490360595
12231b4882370
13102a72ba410
146ad7957152
1539a42a90b0
hex20a1ba7784

140152305540 has 96 divisors (see below), whose sum is σ = 423590138496. Its totient is φ = 34419271680.

The previous prime is 140152305533. The next prime is 140152305593. The reversal of 140152305540 is 45503251041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 140152305498 and 140152305507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130255 + ... + 545225.

It is an arithmetic number, because the mean of its divisors is an integer number (4412397276).

Almost surely, 2140152305540 is an apocalyptic number.

140152305540 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 140152305540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211795069248).

140152305540 is an abundant number, since it is smaller than the sum of its proper divisors (283437832956).

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

140152305540 is a wasteful number, since it uses less digits than its factorization.

140152305540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415429 (or 415427 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 140152305540 its reverse (45503251041), we get a palindrome (185655556581).

The spelling of 140152305540 in words is "one hundred forty billion, one hundred fifty-two million, three hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 433 780 866 1299 1732 2165 2598 4330 5196 5629 6495 8660 11258 12990 16887 22516 25980 28145 33774 56290 67548 84435 112580 168870 337740 414971 829942 1244913 1659884 2074855 2489826 4149710 4979652 5394623 6224565 8299420 10789246 12449130 16183869 21578492 24898260 26973115 32367738 53946230 64735476 80919345 107892460 161838690 179682443 323677380 359364886 539047329 718729772 898412215 1078094658 1796824430 2156189316 2335871759 2695236645 3593648860 4671743518 5390473290 7007615277 9343487036 10780946580 11679358795 14015230554 23358717590 28030461108 35038076385 46717435180 70076152770 140152305540