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441442601001416 = 23753279753176271
BaseRepresentation
bin110010001011111010101110…
…1011010111110000111001000
32010220000111111212111000121102
41210113311131122332013020
5430330043421324021131
64202511533053200532
7161661114114131420
oct14427653532760710
92126014455430542
10441442601001416
11118725834975943
1241616649a90148
1315c41b21605611
147b01d1611d480
153607e05ebe1cb
hex1917d5d6be1c8

441442601001416 has 64 divisors (see below), whose sum is σ = 964141114682880. Its totient is φ = 185553701948160.

The previous prime is 441442601001397. The next prime is 441442601001491. The reversal of 441442601001416 is 614100106244144.

It is a self number, because there is not a number n which added to its sum of digits gives 441442601001416.

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, 18286640 + ... + 34889631.

It is an arithmetic number, because the mean of its divisors is an integer number (15064704916920).

Almost surely, 2441442601001416 is an apocalyptic number.

It is an amenable number.

441442601001416 is an abundant number, since it is smaller than the sum of its proper divisors (522698513681464).

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

441442601001416 is a wasteful number, since it uses less digits than its factorization.

441442601001416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53179134 (or 53179130 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 441442601001416 in words is "four hundred forty-one trillion, four hundred forty-two billion, six hundred one million, one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2797 2968 5594 11188 19579 22376 39158 78316 148241 156632 296482 592964 1037687 1185928 2075374 4150748 8301496 53176271 106352542 212705084 372233897 425410168 744467794 1488935588 2818342363 2977871176 5636684726 11273369452 19728396541 22546738904 39456793082 78913586164 148734029987 157827172328 297468059974 594936119948 1041138209909 1189872239896 2082276419818 4164552839636 7882903589311 8329105679272 15765807178622 31531614357244 55180325125177 63063228714488 110360650250354 220721300500708 441442601001416