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4023400141134 = 2331147251574163
BaseRepresentation
bin111010100011000101010…
…101100001000101001110
3112020122002200012000222000
4322203011111201011032
51011404410414004014
612320154032133130
7563452414632663
oct72430525410516
915218080160860
104023400141134
111311350542a90
1254b9186971a6
13232535a484aa
14dca3b02ba6a
156e9d04aa509
hex3a8c556114e

4023400141134 has 128 divisors (see below), whose sum is σ = 10000926351360. Its totient is φ = 1188515340000.

The previous prime is 4023400141127. The next prime is 4023400141141. The reversal of 4023400141134 is 4311410043204.

It is an interprime number because it is at equal distance from previous prime (4023400141127) and next prime (4023400141141).

It is a super-2 number, since 2×40234001411342 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4023400141098 and 4023400141107.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6720337 + ... + 7294499.

It is an arithmetic number, because the mean of its divisors is an integer number (78132237120).

Almost surely, 24023400141134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023400141134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000463175680).

4023400141134 is an abundant number, since it is smaller than the sum of its proper divisors (5977526210226).

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

4023400141134 is a wasteful number, since it uses less digits than its factorization.

4023400141134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574483 (or 574477 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4023400141134 its reverse (4311410043204), we get a palindrome (8334810184338).

The spelling of 4023400141134 in words is "four trillion, twenty-three billion, four hundred million, one hundred forty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 251 282 297 423 502 517 594 753 846 1034 1269 1506 1551 2259 2538 2761 3102 4518 4653 5522 6777 8283 9306 11797 13554 13959 16566 23594 24849 27918 35391 49698 70782 74547 106173 129767 149094 212346 259534 318519 389301 574163 637038 778602 1148326 1167903 1722489 2335806 3444978 3503709 5167467 6315793 7007418 10334934 12631586 15502401 18947379 26985661 31004802 37894758 53971322 56842137 80956983 113684274 144114913 161913966 170526411 242870949 288229826 296842271 341052822 432344739 485741898 593684542 728612847 864689478 890526813 1297034217 1457225694 1585264043 1781053626 2594068434 2671580439 3170528086 3891102651 4755792129 5343160878 6773400911 7782205302 8014741317 9511584258 13546801822 14267376387 16029482634 20320202733 28534752774 40640405466 42802129161 60960608199 74507410021 85604258322 121921216398 149014820042 182881824597 223522230063 365763649194 447044460126 670566690189 1341133380378 2011700070567 4023400141134