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140013003324340 = 225435910909252949
BaseRepresentation
bin11111110101011101010001…
…010100111011101110110100
3200100202010000221021212012101
4133311131101110323232310
5121322433112322334330
61213441030305231444
741330414513520466
oct3765352124735664
9610663027255171
10140013003324340
11406811aa277293
121385355b632584
1360182286a7563
142680946280136
15112c0d5d984ca
hex7f575153bbb4

140013003324340 has 96 divisors (see below), whose sum is σ = 305993817360000. Its totient is φ = 53770447406592.

The previous prime is 140013003324301. The next prime is 140013003324349. The reversal of 140013003324340 is 43423300310041.

It is a junction number, because it is equal to n+sod(n) for n = 140013003324299 and 140013003324308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140013003324349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553396186 + ... + 553649134.

It is an arithmetic number, because the mean of its divisors is an integer number (3187435597500).

Almost surely, 2140013003324340 is an apocalyptic number.

140013003324340 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 140013003324340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152996908680000).

140013003324340 is an abundant number, since it is smaller than the sum of its proper divisors (165980814035660).

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

140013003324340 is a wasteful number, since it uses less digits than its factorization.

140013003324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263969 (or 263967 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 140013003324340 its reverse (43423300310041), we get a palindrome (183436303634381).

The spelling of 140013003324340 in words is "one hundred forty trillion, thirteen billion, three million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 59 86 118 172 215 236 295 430 590 860 1180 2537 5074 10148 10909 12685 21818 25370 43636 50740 54545 109090 218180 252949 469087 505898 643631 938174 1011796 1264745 1287262 1876348 2345435 2529490 2574524 3218155 4690870 5058980 6436310 9381740 10876807 12872620 14923991 21753614 27676133 29847982 43507228 54384035 55352266 59695964 74619955 108768070 110704532 138380665 149239910 217536140 276761330 298479820 553522660 641731613 1283463226 2566926452 2759420641 3208658065 5518841282 6417316130 11037682564 12834632260 13797103205 27594206410 55188412820 118655087563 162805817819 237310175126 325611635638 474620350252 593275437815 651223271276 814029089095 1186550875630 1628058178190 2373101751260 3256116356380 7000650166217 14001300332434 28002600664868 35003250831085 70006501662170 140013003324340