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2314021020432 = 24311231671141009
BaseRepresentation
bin100001101011000110011…
…001101010001100010000
322012012220002210111220020
4201223012121222030100
5300403103340123212
64531014021143440
7326116412065122
oct41530631521420
98165802714806
102314021020432
118124095a3280
12314580b5ab80
1313a299151874
147dddbbbb212
15402d6572d8c
hex21ac666a310

2314021020432 has 160 divisors (see below), whose sum is σ = 6845621852160. Its totient is φ = 666713794560.

The previous prime is 2314021020427. The next prime is 2314021020433. The reversal of 2314021020432 is 2340201204132.

It is a happy number.

It is a super-2 number, since 2×23140210204322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2314021020433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1457544 + ... + 2598552.

It is an arithmetic number, because the mean of its divisors is an integer number (42785136576).

Almost surely, 22314021020432 is an apocalyptic number.

2314021020432 is a gapful number since it is divisible by the number (22) 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 2314021020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422810926080).

2314021020432 is an abundant number, since it is smaller than the sum of its proper divisors (4531600831728).

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

2314021020432 is a wasteful number, since it uses less digits than its factorization.

2314021020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141221 (or 1141215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2314021020432 its reverse (2340201204132), we get a palindrome (4654222224564).

The spelling of 2314021020432 in words is "two trillion, three hundred fourteen billion, twenty-one million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 167 176 184 253 264 276 334 368 501 506 528 552 668 759 1002 1012 1104 1336 1518 1837 2004 2024 2672 3036 3674 3841 4008 4048 5511 6072 7348 7682 8016 11022 11523 12144 14696 15364 22044 23046 29392 30728 42251 44088 46092 61456 84502 88176 92184 126753 169004 184368 253506 338008 507012 676016 1014024 1141009 2028048 2282018 3423027 4564036 6846054 9128072 12551099 13692108 18256144 25102198 26243207 27384216 37653297 50204396 52486414 54768432 75306594 78729621 100408792 104972828 150613188 157459242 190548503 200817584 209945656 288675277 301226376 314918484 381097006 419891312 571645509 577350554 602452752 629836968 762194012 866025831 1143291018 1154701108 1259673936 1524388024 1732051662 2096033533 2286582036 2309402216 3048776048 3464103324 4192067066 4382615569 4573164072 4618804432 6288100599 6928206648 8384134132 8765231138 9146328144 12576201198 13147846707 13856413296 16768268264 17530462276 25152402396 26295693414 33536536528 35060924552 48208771259 50304804792 52591386828 70121849104 96417542518 100609609584 105182773656 144626313777 192835085036 210365547312 289252627554 385670170072 578505255108 771340340144 1157010510216 2314021020432