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141219443024 = 241131139186211
BaseRepresentation
bin1000001110000101010…
…1011011000101010000
3111111111211022000002122
42003201111123011100
54303204134134044
6144513022433412
713126356313532
oct2034125330520
9444454260078
10141219443024
115498876a7a0
1223452132868
131041740320a
146b9957d852
153a17cecdee
hex20e155b150

141219443024 has 80 divisors (see below), whose sum is σ = 310333470720. Its totient is φ = 61672752000.

The previous prime is 141219443023. The next prime is 141219443041. The reversal of 141219443024 is 420344912141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141219443021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665279 + ... + 851489.

It is an arithmetic number, because the mean of its divisors is an integer number (3879168384).

Almost surely, 2141219443024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141219443024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155166735360).

141219443024 is an abundant number, since it is smaller than the sum of its proper divisors (169114027696).

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

141219443024 is a wasteful number, since it uses less digits than its factorization.

141219443024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186400 (or 186394 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 141219443024 in words is "one hundred forty-one billion, two hundred nineteen million, four hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 139 176 248 278 341 496 556 682 1112 1364 1529 2224 2728 3058 4309 5456 6116 8618 12232 17236 24464 34472 47399 68944 94798 186211 189596 372422 379192 744844 758384 1489688 2048321 2979376 4096642 5772541 8193284 11545082 16386568 23090164 25883329 32773136 46180328 51766658 63497951 92360656 103533316 126995902 207066632 253991804 284716619 414133264 507983608 569433238 802383199 1015967216 1138866476 1604766398 2277732952 3209532796 4555465904 6419065592 8826215189 12838131184 17652430378 35304860756 70609721512 141219443024