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4203443431242 = 2331123431713861
BaseRepresentation
bin111101001010110000110…
…000001010011101001010
3112212211211012101211002000
4331022300300022131022
51022332123004244432
612535011340451430
7612455150433216
oct75126060123512
915784735354060
104203443431242
111380741262710
1257a7a4849b76
132464c9638c93
1410763a895946
157451b8b557c
hex3d2b0c0a74a

4203443431242 has 128 divisors (see below), whose sum is σ = 10657902551040. Its totient is φ = 1215560808000.

The previous prime is 4203443431189. The next prime is 4203443431259. The reversal of 4203443431242 is 2421343443024.

4203443431242 is a `hidden beast` number, since 4 + 203 + 4 + 434 + 3 + 12 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4203443431197 and 4203443431206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5531392 + ... + 6245252.

It is an arithmetic number, because the mean of its divisors is an integer number (83264863680).

Almost surely, 24203443431242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4203443431242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328951275520).

4203443431242 is an abundant number, since it is smaller than the sum of its proper divisors (6454459119798).

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

4203443431242 is a wasteful number, since it uses less digits than its factorization.

4203443431242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714337 (or 714331 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4203443431242 its reverse (2421343443024), we get a palindrome (6624786874266).

The spelling of 4203443431242 in words is "four trillion, two hundred three billion, four hundred forty-three million, four hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 431 506 594 621 759 862 1242 1293 1518 2277 2586 3879 4554 4741 6831 7758 9482 9913 11637 13662 14223 19826 23274 28446 29739 42669 59478 85338 89217 109043 128007 178434 218086 256014 267651 327129 535302 654258 713861 981387 1427722 1962774 2141583 2944161 4283166 5888322 6424749 7852471 12849498 15704942 16418803 19274247 23557413 32837606 38548494 47114826 49256409 70672239 98512818 141344478 147769227 180606833 212016717 295538454 307674091 361213666 424033434 443307681 541820499 615348182 886615362 923022273 1083640998 1625461497 1846044546 2769066819 3250922994 3384415001 4876384491 5538133638 6768830002 7076504093 8307200457 9752768982 10153245003 14153008186 16614400914 20306490006 21229512279 30459735009 42459024558 60919470018 63688536837 77841545023 91379205027 127377073674 155683090046 182758410054 191065610511 233524635069 382131221022 467049270138 700573905207 1401147810414 2101721715621 4203443431242