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140022331401232 = 2477339674317121
BaseRepresentation
bin11111110101100101111101…
…010100101110010000010000
3200100210000010000201021002201
4133311211331110232100100
5121323111213314314412
61213445212050252544
741331164622050110
oct3765457524562020
9610700100637081
10140022331401232
1140685156779545
1213855323587154
136019084106197
14268118d097040
15112c47ec7ce57
hex7f597d52e410

140022331401232 has 80 divisors (see below), whose sum is σ = 314376001441792. Its totient is φ = 59172588011520.

The previous prime is 140022331401217. The next prime is 140022331401263. The reversal of 140022331401232 is 232104133220041.

It is a super-2 number, since 2×1400223314012322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 140022331401232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30275632 + ... + 34592752.

Almost surely, 2140022331401232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140022331401232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157188000720896).

140022331401232 is an abundant number, since it is smaller than the sum of its proper divisors (174353670040560).

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

140022331401232 is a wasteful number, since it uses less digits than its factorization.

140022331401232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321176 (or 4321170 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 140022331401232 its reverse (232104133220041), we get a palindrome (372126464621273).

The spelling of 140022331401232 in words is "one hundred forty trillion, twenty-two billion, three hundred thirty-one million, four hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2044 3967 4088 7934 8176 15868 27769 31736 55538 63472 111076 222152 289591 444304 579182 1158364 2027137 2316728 4054274 4317121 4633456 8108548 8634242 16217096 17268484 30219847 32434192 34536968 60439694 69073936 120879388 241758776 315149833 483517552 630299666 1260599332 2206048831 2521198664 4412097662 5042397328 8824195324 17126019007 17648390648 34252038014 35296781296 68504076028 119882133049 137008152056 239764266098 274016304112 479528532196 959057064392 1250199387511 1918114128784 2500398775022 5000797550044 8751395712577 10001595100088 17502791425154 20003190200176 35005582850308 70011165700616 140022331401232