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142778450034 = 2351129099181
BaseRepresentation
bin1000010011111001000…
…0100100000001110010
3111122112110211202200000
42010332100210001302
54314402240400114
6145331433410430
713213116541503
oct2047620440162
9448473752600
10142778450034
1155608792840
1223808269a16
13106053b547c
146ca6642baa
153aa9b00e09
hex213e424072

142778450034 has 96 divisors (see below), whose sum is σ = 350133900480. Its totient is φ = 43246612800.

The previous prime is 142778450029. The next prime is 142778450039. The reversal of 142778450034 is 430054877241.

142778450034 is a `hidden beast` number, since 1 + 42 + 7 + 78 + 4 + 500 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (142778450029) and next prime (142778450039).

It is a super-2 number, since 2×1427784500342 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142778450039) 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, 15546924 + ... + 15556104.

It is an arithmetic number, because the mean of its divisors is an integer number (3647228130).

Almost surely, 2142778450034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142778450034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175066950240).

142778450034 is an abundant number, since it is smaller than the sum of its proper divisors (207355450446).

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

142778450034 is a wasteful number, since it uses less digits than its factorization.

142778450034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12118 (or 12106 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 142778450034 in words is "one hundred forty-two billion, seven hundred seventy-eight million, four hundred fifty thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 2909 5346 5818 8727 9181 17454 18362 26181 27543 31999 52362 55086 63998 78543 82629 95997 100991 157086 165258 191994 201982 235629 247887 287991 302973 471258 495774 575982 605946 706887 743661 863973 908919 1413774 1487322 1727946 1817838 2230983 2591919 2726757 4461966 5183838 5453514 7775757 8180271 15551514 16360542 24540813 26707529 49081626 53415058 80122587 160245174 240367761 293782819 480735522 587565638 721103283 881348457 1442206566 1762696914 2163309849 2644045371 4326619698 5288090742 6489929547 7932136113 12979859094 15864272226 23796408339 47592816678 71389225017 142778450034