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140310344352 = 2534326191277
BaseRepresentation
bin1000001010101100100…
…1011111001010100000
3111102011110200000011110
42002223021133022200
54244323422004402
6144242505343320
713065010151223
oct2025311371240
9442143600143
10140310344352
1154561593482
1223239797b40
1310300c722c9
146b109355ba
1539b30c556c
hex20ab25f2a0

140310344352 has 144 divisors (see below), whose sum is σ = 377984244960. Its totient is φ = 45572921856.

The previous prime is 140310344329. The next prime is 140310344357. The reversal of 140310344352 is 253443013041.

It is not an unprimeable number, because it can be changed into a prime (140310344357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109874338 + ... + 109875614.

It is an arithmetic number, because the mean of its divisors is an integer number (2624890590).

Almost surely, 2140310344352 is an apocalyptic number.

140310344352 is a gapful number since it is divisible by the number (12) 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 140310344352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188992122480).

140310344352 is an abundant number, since it is smaller than the sum of its proper divisors (237673900608).

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

140310344352 is a wasteful number, since it uses less digits than its factorization.

140310344352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 140310344352 its reverse (253443013041), we get a palindrome (393753357393).

The spelling of 140310344352 in words is "one hundred forty billion, three hundred ten million, three hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 619 688 1032 1238 1277 1376 1849 1857 2064 2476 2554 3698 3714 3831 4128 4952 5108 5547 7396 7428 7662 9904 10216 11094 14792 14856 15324 19808 20432 22188 26617 29584 29712 30648 40864 44376 53234 54911 59168 59424 61296 79851 88752 106468 109822 122592 159702 164733 177504 212936 219644 319404 329466 425872 439288 638808 658932 790463 851744 878576 1144531 1277616 1317864 1580926 1757152 2289062 2361173 2371389 2555232 2635728 3161852 3433593 4578124 4722346 4742778 5271456 6323704 6867186 7083519 9156248 9444692 9485556 12647408 13734372 14167038 18312496 18889384 18971112 25294816 27468744 28334076 33989909 36624992 37778768 37942224 54937488 56668152 67979818 75557536 75884448 101969727 109874976 113336304 135959636 203939454 226672608 271919272 407878908 543838544 815757816 1087677088 1461566087 1631515632 2923132174 3263031264 4384698261 5846264348 8769396522 11692528696 17538793044 23385057392 35077586088 46770114784 70155172176 140310344352