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140241204324 = 2232137312173373
BaseRepresentation
bin1000001010011100000…
…1101111010001100100
3111101222122120022212200
42002213001233101210
54244203222014244
6144231555414500
713063210365624
oct2024701572144
9441878508780
10140241204324
115452655a561
122321a5b4430
13102bc845050
146b05698884
1539abeb9669
hex20a706f464

140241204324 has 144 divisors (see below), whose sum is σ = 387430238832. Its totient is φ = 42512449536.

The previous prime is 140241204293. The next prime is 140241204331. The reversal of 140241204324 is 423402142041.

It can be written as a sum of positive squares in 8 ways, for example, as 1285222500 + 138955981824 = 35850^2 + 372768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41575902 + ... + 41579274.

Almost surely, 2140241204324 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 140241204324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193715119416).

140241204324 is an abundant number, since it is smaller than the sum of its proper divisors (247189034508).

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

140241204324 is a wasteful number, since it uses less digits than its factorization.

140241204324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 140241204324 its reverse (423402142041), we get a palindrome (563643346365).

The spelling of 140241204324 in words is "one hundred forty billion, two hundred forty-one million, two hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 146 156 219 234 292 438 468 657 876 949 1217 1314 1898 2434 2628 2847 3373 3651 3796 4868 5694 6746 7302 8541 10119 10953 11388 13492 14604 15821 17082 20238 21906 30357 31642 34164 40476 43812 43849 47463 60714 63284 87698 88841 94926 121428 131547 142389 175396 177682 189852 246229 263094 266523 284778 355364 394641 492458 526188 533046 569556 738687 789282 799569 984916 1066092 1154933 1477374 1578564 1599138 2216061 2309866 2954748 3198276 3200977 3464799 4104941 4432122 4619732 6401954 6929598 8209882 8864244 9602931 10394397 12314823 12803908 13859196 16419764 19205862 20788794 24629646 28808793 36944469 38411724 41577588 49259292 53364233 57617586 73888938 106728466 115235172 147777876 160092699 213456932 299660693 320185398 480278097 599321386 640370796 898982079 960556194 1198642772 1797964158 1921112388 2696946237 3595928316 3895589009 5393892474 7791178018 10787784948 11686767027 15582356036 23373534054 35060301081 46747068108 70120602162 140241204324