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401215121142 = 2311411012715417
BaseRepresentation
bin1011101011010100100…
…10001110011011110110
31102100121101000220211120
411311222102032123312
523033142032334032
6504152104244410
740662325155153
oct5655222163366
91370541026746
10401215121142
11145177526950
1265912170706
132bab02c8334
14155c170b22a
15a68341e62c
hex5d6a48e6f6

401215121142 has 128 divisors (see below), whose sum is σ = 909117167616. Its totient is φ = 116985600000.

The previous prime is 401215121113. The next prime is 401215121147. The reversal of 401215121142 is 241121512104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401215121147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74063218 + ... + 74068634.

It is an arithmetic number, because the mean of its divisors is an integer number (7102477872).

Almost surely, 2401215121142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401215121142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454558583808).

401215121142 is an abundant number, since it is smaller than the sum of its proper divisors (507902046474).

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

401215121142 is a wasteful number, since it uses less digits than its factorization.

401215121142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846.

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 401215121142 its reverse (241121512104), we get a palindrome (642336633246).

The spelling of 401215121142 in words is "four hundred one billion, two hundred fifteen million, one hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 101 123 202 246 271 303 451 542 606 813 902 1111 1353 1626 2222 2706 2981 3333 4141 5417 5962 6666 8282 8943 10834 11111 12423 16251 17886 22222 24846 27371 32502 33333 45551 54742 59587 66666 82113 91102 119174 122221 136653 164226 178761 222097 244442 273306 301081 357522 366663 444194 547117 602162 666291 733326 903243 1094234 1122211 1332582 1468007 1641351 1806486 2244422 2443067 2936014 3282702 3366633 4404021 4886134 6018287 6733266 7329201 8808042 12036574 12344321 14658402 16148077 18054861 22431797 24688642 32296154 36109722 37032963 44863594 48444231 60188287 67295391 74065926 96888462 120376574 134590782 148268707 180564861 246749767 296537414 361129722 444806121 493499534 662071157 740249301 889612242 1324142314 1480498602 1630955777 1986213471 3261911554 3972426942 4892867331 6079016987 9785734662 12158033974 18237050961 36474101922 66869186857 133738373714 200607560571 401215121142