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124443404314242 = 23132474423590363
BaseRepresentation
bin11100010010111000111100…
…111010001010011010000010
3121022121200011210220201120120
4130102320330322022122002
5112302340043001023432
61120400302152121110
735132511365525436
oct3422707472123202
9538550153821516
10124443404314242
1136719173558962
1211b59b70396196
135458c68cbc700
1422a3142d109c6
15e5c0d27ebc2c
hex712e3ce8a682

124443404314242 has 96 divisors (see below), whose sum is σ = 275301487577088. Its totient is φ = 37467055124928.

The previous prime is 124443404314211. The next prime is 124443404314247. The reversal of 124443404314242 is 242413404344421.

It is a junction number, because it is equal to n+sod(n) for n = 124443404314194 and 124443404314203.

It is not an unprimeable number, because it can be changed into a prime (124443404314247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210496153 + ... + 211086515.

It is an arithmetic number, because the mean of its divisors is an integer number (2867723828928).

Almost surely, 2124443404314242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124443404314242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137650743788544).

124443404314242 is an abundant number, since it is smaller than the sum of its proper divisors (150858083262846).

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

124443404314242 is a wasteful number, since it uses less digits than its factorization.

124443404314242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594864 (or 594851 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

Adding to 124443404314242 its reverse (242413404344421), we get a palindrome (366856808658663).

The spelling of 124443404314242 in words is "one hundred twenty-four trillion, four hundred forty-three billion, four hundred four million, three hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 169 282 338 507 611 1014 1222 1833 3666 4423 7943 8846 13269 15886 23829 26538 47658 57499 114998 172497 207881 344994 415762 590363 623643 747487 1180726 1247286 1494974 1771089 2242461 2702453 3542178 4484922 5404906 7674719 8107359 15349438 16214718 23024157 27747061 35131889 46048314 55494122 70263778 83241183 99771347 105395667 166482366 199542694 210791334 299314041 360711793 598628082 721423586 1082135379 2164270758 2611175549 4689253309 5222351098 7833526647 9378506618 14067759927 15667053294 28135519854 33945282137 67890564274 101835846411 122725250803 203671692822 245450501606 368175752409 441288667781 736351504818 882577335562 1323866003343 1595428260439 2647732006686 3190856520878 4786284781317 9572569562634 20740567385707 41481134771414 62221702157121 124443404314242