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4233142023220 = 2251124142664201
BaseRepresentation
bin111101100110011010111…
…011010011010000110100
3112222200110221112121101001
4331212122323103100310
51023323433324220340
613000402324413044
7614556130336405
oct75463273232064
915880427477331
104233142023220
1113922a1350400
125844b2847184
1324925042c426
14108c56c819ac
15751a8d0329a
hex3d99aed3434

4233142023220 has 72 divisors (see below), whose sum is σ = 10009533759624. Its totient is φ = 1501779840000.

The previous prime is 4233142023211. The next prime is 4233142023239. The reversal of 4233142023220 is 223202413324.

It can be written as a sum of positive squares in 4 ways, for example, as 5331628324 + 4227810394896 = 73018^2 + 2056164^2 .

It is a super-2 number, since 2×42331420232202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21232881 + ... + 21431320.

It is an arithmetic number, because the mean of its divisors is an integer number (139021302217).

Almost surely, 24233142023220 is an apocalyptic number.

It is an amenable number.

4233142023220 is an abundant number, since it is smaller than the sum of its proper divisors (5776391736404).

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

4233142023220 is a wasteful number, since it uses less digits than its factorization.

4233142023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42664273 (or 42664260 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4233142023220 its reverse (223202413324), we get a palindrome (4456344436544).

The spelling of 4233142023220 in words is "four trillion, two hundred thirty-three billion, one hundred forty-two million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 164 205 220 242 410 451 484 605 820 902 1210 1804 2255 2420 4510 4961 9020 9922 19844 24805 49610 99220 42664201 85328402 170656804 213321005 426642010 469306211 853284020 938612422 1749232241 1877224844 2346531055 3498464482 4693062110 5162368321 6996928964 8746161205 9386124220 10324736642 17492322410 19241554651 20649473284 25811841605 34984644820 38483109302 51623683210 76966218604 96207773255 103247366420 192415546510 211657101161 384831093020 423314202322 846628404644 1058285505805 2116571011610 4233142023220