Search a number
-
+
4244213014300 = 2252767337268531
BaseRepresentation
bin111101110000101110110…
…011110001111100011100
3120000202001111120020001201
4331300232303301330130
51024014122012424200
613005433050245244
7615430361244340
oct75605663617434
916022044506051
104244213014300
111396a62666906
12586682426824
1324a2c5c8171c
141095c7351620
1575605c16c6a
hex3dc2ecf1f1c

4244213014300 has 144 divisors (see below), whose sum is σ = 10714486951168. Its totient is φ = 1429181107200.

The previous prime is 4244213014291. The next prime is 4244213014331. The reversal of 4244213014300 is 34103124424.

It is a super-2 number, since 2×42442130143002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 15671035 + ... + 15939565.

Almost surely, 24244213014300 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 4244213014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5357243475584).

4244213014300 is an abundant number, since it is smaller than the sum of its proper divisors (6470273936868).

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

4244213014300 is a wasteful number, since it uses less digits than its factorization.

4244213014300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268956 (or 268949 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4244213014300 its reverse (34103124424), we get a palindrome (4278316138724).

The spelling of 4244213014300 in words is "four trillion, two hundred forty-four billion, two hundred thirteen million, fourteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 337 350 469 670 674 700 938 1340 1348 1675 1685 1876 2345 2359 3350 3370 4690 4718 6700 6740 8425 9380 9436 11725 11795 16850 22579 23450 23590 33700 45158 46900 47180 58975 90316 112895 117950 158053 225790 235900 268531 316106 451580 537062 564475 632212 790265 1074124 1128950 1342655 1580530 1879717 2257900 2685310 3161060 3759434 3951325 5370620 6713275 7518868 7902650 9398585 13426550 15805300 17991577 18797170 26853100 35983154 37594340 46992925 71966308 89957885 90494947 93985850 125941039 179915770 180989894 187971700 251882078 359831540 361979788 449789425 452474735 503764156 629705195 633464629 899578850 904949470 1259410390 1266929258 1799157700 1809898940 2262373675 2518820780 2533858516 3148525975 3167323145 4524747350 6063161449 6297051950 6334646290 9049494700 12126322898 12594103900 12669292580 15836615725 24252645796 30315807245 31673231450 42442130143 60631614490 63346462900 84884260286 121263228980 151579036225 169768520572 212210650715 303158072450 424421301430 606316144900 848842602860 1061053253575 2122106507150 4244213014300