Search a number
-
+
6401431402240 = 28573719309337
BaseRepresentation
bin101110100100111001100…
…0010110111011100000000
3211122222012202112200121211
41131021303002313130000
51314340112414332430
621340435455055504
71230326303063440
oct135116302673400
924588182480554
106401431402240
112048917161506
12874782511594
133758633c2bc4
14181b8c11a120
15b17b137a72a
hex5d2730b7700

6401431402240 has 144 divisors (see below), whose sum is σ = 17997538813632. Its totient is φ = 2135458086912.

The previous prime is 6401431402187. The next prime is 6401431402253. The reversal of 6401431402240 is 422041341046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9323149 + ... + 9986188.

It is an arithmetic number, because the mean of its divisors is an integer number (124982908428).

Almost surely, 26401431402240 is an apocalyptic number.

It is an amenable number.

6401431402240 is an abundant number, since it is smaller than the sum of its proper divisors (11596107411392).

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

6401431402240 is a wasteful number, since it uses less digits than its factorization.

6401431402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19309402 (or 19309388 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 6401431402240 its reverse (422041341046), we get a palindrome (6823472743286).

The spelling of 6401431402240 in words is "six trillion, four hundred one billion, four hundred thirty-one million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 128 140 148 160 185 224 256 259 280 296 320 370 448 518 560 592 640 740 896 1036 1120 1184 1280 1295 1480 1792 2072 2240 2368 2590 2960 4144 4480 4736 5180 5920 8288 8960 9472 10360 11840 16576 20720 23680 33152 41440 47360 66304 82880 165760 331520 19309337 38618674 77237348 96546685 135165359 154474696 193093370 270330718 308949392 386186740 540661436 617898784 675826795 714445469 772373480 1081322872 1235797568 1351653590 1428890938 1544746960 2162645744 2471595136 2703307180 2857781876 3089493920 3572227345 4325291488 4943190272 5001118283 5406614360 5715563752 6178987840 7144454690 8650582976 10002236566 10813228720 11431127504 12357975680 14288909380 17301165952 20004473132 21626457440 22862255008 24715951360 25005591415 28577818760 34602331904 40008946264 43252914880 45724510016 50011182830 57155637520 80017892528 86505829760 91449020032 100022365660 114311275040 160035785056 173011659520 182898040064 200044731320 228622550080 320071570112 400089462640 457245100160 640143140224 800178925280 914490200320 1280286280448 1600357850560 3200715701120 6401431402240