Search a number
-
+
10355024214320 = 245299943160321
BaseRepresentation
bin1001011010101111011110…
…0010100011100100110000
31100122221010102220222120012
42112223313202203210300
52324124042144324240
634005011002034052
72116061103360602
oct226536742434460
940587112828505
1010355024214320
1133325a5239a05
1211b2a587a8928
135a16228b3116
1427b285d67172
1512e5580d2b65
hex96af78a3930

10355024214320 has 40 divisors (see below), whose sum is σ = 24083459676000. Its totient is φ = 4140628459520.

The previous prime is 10355024214313. The next prime is 10355024214377. The reversal of 10355024214320 is 2341242055301.

10355024214320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×103550242143203 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21340241 + ... + 21820080.

It is an arithmetic number, because the mean of its divisors is an integer number (602086491900).

Almost surely, 210355024214320 is an apocalyptic number.

10355024214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10355024214320 is an abundant number, since it is smaller than the sum of its proper divisors (13728435461680).

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

10355024214320 is a wasteful number, since it uses less digits than its factorization.

10355024214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43163333 (or 43163327 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 10355024214320 its reverse (2341242055301), we get a palindrome (12696266269621).

The spelling of 10355024214320 in words is "ten trillion, three hundred fifty-five billion, twenty-four million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2999 5998 11996 14995 23992 29990 47984 59980 119960 239920 43160321 86320642 172641284 215801605 345282568 431603210 690565136 863206420 1726412840 3452825680 129437802679 258875605358 517751210716 647189013395 1035502421432 1294378026790 2071004842864 2588756053580 5177512107160 10355024214320