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4223142413224 = 2372923773109387
BaseRepresentation
bin111101011101000110111…
…001110100001110101000
3112221201200001111210020021
4331131012321310032220
51023142443424210344
612552030154210224
7614053256140450
oct75350671641650
915851601453207
104223142413224
11138902a882409
12582581a23974
1324831884a637
14108588bc0d60
1574cc0ec0b84
hex3d746e743a8

4223142413224 has 64 divisors (see below), whose sum is σ = 9362125123200. Its totient is φ = 1747417722624.

The previous prime is 4223142413209. The next prime is 4223142413249.

4223142413224 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4223142413224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38552659 + ... + 38662045.

It is an arithmetic number, because the mean of its divisors is an integer number (146283205050).

Almost surely, 24223142413224 is an apocalyptic number.

It is an amenable number.

4223142413224 is an abundant number, since it is smaller than the sum of its proper divisors (5138982709976).

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

4223142413224 is a wasteful number, since it uses less digits than its factorization.

4223142413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133202 (or 133198 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

The spelling of 4223142413224 in words is "four trillion, two hundred twenty-three billion, one hundred forty-two million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 23773 47546 95092 109387 166411 190184 218774 332822 437548 665644 689417 765709 875096 1331288 1378834 1531418 2757668 3062836 3172223 4825919 5515336 6125672 6344446 9651838 12688892 19303676 22205561 25377784 38607352 44411122 88822244 177644488 2600457151 5200914302 10401828604 18203200057 20803657208 36406400114 72812800228 75413257379 145625600456 150826514758 301653029516 527892801653 603306059032 1055785603306 2111571206612 4223142413224