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141221142244120 = 23517373887627709
BaseRepresentation
bin100000000111000010011100…
…000001001010101100011000
3200112000121110012210221012011
4200013002130001022230120
5122002231344403302440
61220204032551155304
741513614361064601
oct4007023401125430
9615017405727164
10141221142244120
1140aa7606195264
1213a0972a975b34
1360a5134224b13
1426c31d56b4da8
15114d7453709ea
hex80709c04ab18

141221142244120 has 128 divisors (see below), whose sum is σ = 337721438102400. Its totient is φ = 52963208994816.

The previous prime is 141221142244109. The next prime is 141221142244123. The reversal of 141221142244120 is 21442241122141.

It is a super-2 number, since 2×1412211422441202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141221142244123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224664826 + ... + 225292534.

It is an arithmetic number, because the mean of its divisors is an integer number (2638448735175).

Almost surely, 2141221142244120 is an apocalyptic number.

141221142244120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141221142244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168860719051200).

141221142244120 is an abundant number, since it is smaller than the sum of its proper divisors (196500295858280).

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

141221142244120 is a wasteful number, since it uses less digits than its factorization.

141221142244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628997 (or 628993 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

Adding to 141221142244120 its reverse (21442241122141), we get a palindrome (162663383366261).

The spelling of 141221142244120 in words is "one hundred forty-one trillion, two hundred twenty-one billion, one hundred forty-two million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 373 680 746 887 1492 1774 1865 2984 3548 3730 4435 6341 7096 7460 8870 12682 14920 15079 17740 25364 30158 31705 35480 50728 60316 63410 75395 120632 126820 150790 253640 301580 330851 603160 627709 661702 1255418 1323404 1654255 2510836 2646808 3138545 3308510 5021672 5624467 6277090 6617020 10671053 11248934 12554180 13234040 21342106 22497868 25108360 28122335 42684212 44995736 53355265 56244670 85368424 106710530 112489340 213421060 224978680 234135457 426842120 468270914 556777883 936541828 1113555766 1170677285 1873083656 2227111532 2341354570 2783889415 3980302769 4454223064 4682709140 5567778830 7960605538 9365418280 9465224011 11135557660 15921211076 18930448022 19901513845 22271115320 31842422152 37860896044 39803027690 47326120055 75721792088 79606055380 94652240110 159212110760 189304480220 207678150359 378608960440 415356300718 830712601436 1038390751795 1661425202872 2076781503590 3530528556103 4153563007180 7061057112206 8307126014360 14122114224412 17652642780515 28244228448824 35305285561030 70610571122060 141221142244120