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4245140213424 = 243311980391129
BaseRepresentation
bin111101110001100110000…
…100110000111010110000
3120000211110010020211011000
4331301212010300322300
51024023021343312144
613010105051322000
7615462350304645
oct75614604607260
916024403224130
104245140213424
111397398a86280
125868a0a50300
1324a4130ac266
1410967454bdcc
157565c317769
hex3dc66130eb0

4245140213424 has 160 divisors (see below), whose sum is σ = 13294365177600. Its totient is φ = 1286260784640.

The previous prime is 4245140213423. The next prime is 4245140213459. The reversal of 4245140213424 is 4243120415424.

4245140213424 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 14 + 0 + 213 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4245140213423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46538292 + ... + 46629420.

It is an arithmetic number, because the mean of its divisors is an integer number (83089782360).

Almost surely, 24245140213424 is an apocalyptic number.

4245140213424 is a gapful number since it is divisible by the number (44) 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 4245140213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647182588800).

4245140213424 is an abundant number, since it is smaller than the sum of its proper divisors (9049224964176).

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

4245140213424 is a wasteful number, since it uses less digits than its factorization.

4245140213424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100960 (or 100948 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 4245140213424 its reverse (4243120415424), we get a palindrome (8488260628848).

The spelling of 4245140213424 in words is "four trillion, two hundred forty-five billion, one hundred forty million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 9803 19606 29409 39212 58818 78424 88227 91129 107833 117636 156848 176454 182258 215666 235272 264681 273387 323499 352908 364516 431332 470544 529362 546774 646998 705816 729032 820161 862664 970497 1002419 1058724 1093548 1293996 1411632 1458064 1640322 1725328 1940994 2004838 2117448 2187096 2460483 2587992 2911491 3007257 3280644 3881988 4009676 4234896 4374192 4920966 5175984 5822982 6014514 6561288 7763976 8019352 9021771 9841932 11645964 12029028 13122576 15527952 16038704 18043542 19683864 23291928 24058056 27065313 36087084 39367728 46583856 48116112 54130626 72174168 108261252 144348336 216522504 433045008 893337587 1786675174 2680012761 3573350348 5360025522 7146700696 8040038283 9826713457 10720051044 14293401392 16080076566 19653426914 21440102088 24120114849 29480140371 32160153132 39306853828 42880204176 48240229698 58960280742 64320306264 78613707656 88440421113 96480459396 117920561484 128640612528 157227415312 176880842226 192960918792 235841122968 265321263339 353761684452 385921837584 471682245936 530642526678 707523368904 1061285053356 1415046737808 2122570106712 4245140213424