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4102022369024 = 28177183915823
BaseRepresentation
bin111011101100010011100…
…101100000111100000000
3112112011000222210000221022
4323230103211200330000
51014201420211302044
612420235411245012
7602234636560166
oct73542345407400
915464028700838
104102022369024
111341726762528
12562bbaba9768
13239a855b5028
14102778bdd236
1571a82a253ee
hex3bb13960f00

4102022369024 has 144 divisors (see below), whose sum is σ = 8802812712960. Its totient is φ = 1900786728960.

The previous prime is 4102022369023. The next prime is 4102022369051. The reversal of 4102022369024 is 4209632202014.

It is a Cunningham number, because it is equal to 20253452-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102022369023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259236377 + ... + 259252199.

It is an arithmetic number, because the mean of its divisors is an integer number (61130643840).

Almost surely, 24102022369024 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 4102022369024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401406356480).

4102022369024 is an abundant number, since it is smaller than the sum of its proper divisors (4700790343936).

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

4102022369024 is a wasteful number, since it uses less digits than its factorization.

4102022369024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16766 (or 16752 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 4102022369024 in words is "four trillion, one hundred two billion, twenty-two million, three hundred sixty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 128 136 142 256 272 284 544 568 839 1088 1136 1207 1678 2176 2272 2414 3356 4352 4544 4828 6712 9088 9656 13424 14263 15823 18176 19312 26848 28526 31646 38624 53696 57052 59569 63292 77248 107392 114104 119138 126584 154496 214784 228208 238276 253168 268991 308992 456416 476552 506336 537982 912832 953104 1012672 1012673 1075964 1123433 1825664 1906208 2025344 2025346 2151928 2246866 3651328 3812416 4050688 4050692 4303856 4493732 7624832 8101384 8607712 8987464 13275497 15249664 16202768 17215424 17974928 19098361 26550994 32405536 34430848 35949856 38196722 53101988 64811072 68861696 71899712 76393444 106203976 129622144 143799424 152786888 212407952 225683449 259244288 287598848 305573776 424815904 451366898 611147552 849631808 902733796 942560287 1222295104 1699263616 1805467592 1885120574 2444590208 3398527232 3610935184 3770241148 4889180416 7221870368 7540482296 14443740736 15080964592 16023524879 28887481472 30161929184 32047049758 57774962944 60323858368 64094099516 120647716736 128188199032 241295433472 256376398064 512752796128 1025505592256 2051011184512 4102022369024